To find the missing number represented by \( x \) in the equation \( x \times 0.1 = 8.25 \), you can isolate \( x \) by dividing both sides of the equation by \( 0.1 \):
\[ x = \frac{8.25}{0.1} \]
Now, perform the division:
\[ x = 8.25 \div 0.1 = 82.5 \]
Thus, the missing number is \( \boxed{82.5} \).
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