If Larry lives 32 miles from the mountain and Jake lives 15 times farther than Larry, you can find Jake's distance from the mountain by multiplying Larry's distance by 15.
So, Jake's distance = \( 15 \times 32 \) miles.
Calculating that:
\[ 15 \times 32 = 480 \]
Therefore, Jake lives 480 miles from the mountain.
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