We have 53/39/26, and put on an 11-28 for rides in the mountains, using a Dura Ace drailleurs, (long cage rear) with no problems.
+1 on the above comments to make sure you size the chain for the Big/Big combination.
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You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.