"I'm sure we'll celebrate with a few beers tonight, " Bayern captain Philipp Lahm said.
Germany controlled the first half but only had a Philipp Lahm goal to show for their efforts.
Wales had been lucky not to concede inside two minutes, as goalkeeper Wayne Hennessey flapped ineffectually at Philipp Lahm's whipped cross from the left.
At the start of the second half Germany might have had a dream start had Swiss referee Massimo Busacca whistled for a blatant foul on Lahm.
Salpingidis got a step on Lahm and sent a cross into the middle, where Giorgos Samaras slid past defender Boateng and deflected the ball into the net.
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And then Wenger highlighted the work of Bayern's fullbacks, Philipp Lahm and David Alaba, who brought the ball out of defense just as well as they won it back.
Players like 29-year-old captain Philipp Lahm and 28-year-old midfielder Bastian Schweinsteiger had been at the heart of Germany's revival on the world stage without ever winning club soccer's highest honor.
The Catalan side, playing in its sixth successive semifinal, appeared rattled by Bayern's approach and was fortunate not concede a penalty when Gerard Pique clearly handled Philipp Lahm's strike inside the penalty area.
Lahm opened the scoring in the 39th minute.
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From his seat in the stands along with German Chancellor Angela Merkel nd the other VIPs, Loew watched Ballack open the scoring four minutes after the break, after Andreas Ivanschitz had fouled Philipp Lahm 22 meters from goal.
Italy left two strikers forward and the tactic paid off as Riccardo Montolivo swept a long ball over the head of Philipp Lahm, allowing Balotelli to chest the ball down and run clear before smashing an unstoppable shot beyond a stunned Manuel Neuer.
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Wiese then denied Ribery, who set up Olic for another chance that the former Hamburg forward squandered, but the breakthrough came as Gomez stuck out a leg to just beat the goalkeeper to Phillip Lahm's cross and divert the ball into the net.
Bayern's David Alaba missed a 26th-minute penalty, hitting a post after midweek scorer Thomas Muller was fouled, but Schweinsteiger scored seven minutes after halftime with a backheel from Philipp Lahm's cross to dent the home side's hopes of qualifying for the Champions League.
Captain Philipp Lahm, midfielder Marco Reus and Miroslav Klose also scored for Germany in the rout, though it could have been any of the 10 players zigzagging and one-touching their way across the field for Germany, and probably anyone on the bench as well.
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Klose has already been denied by Aussie keeper Mark Schwarzer when Podolski drilled in the opener from Mueller's cross, and moments after Klose had wasted another glorious chance, poking wide from eight yards, the Bayern Munich man nodded in Phillip Lahm's delicious cross to make it 2-0.
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