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That statement is not correct. Power is proportional to the square of the voltage.

"Power is directly proportional to voltage" claims that there is a relationship of the type: P=kV, where power is voltage, multiplied by some constant. That means for example that if voltage doubles, power doubles as well.

The correct relation is: power is proportional to the square of the voltage. That means that if voltage doubles, power increases by a factor of 4. In general, such as square proportion might be written as:

P = kV2

for some constant k. The relevant law in this case is:

P = (1/R)V2

where "R" is the resistance.

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