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\theta \times 0.003=\frac{10^{-7}x}{11}
Cancel out 2\times 2\pi in both numerator and denominator.
\theta \times 0.003=\frac{\frac{1}{10000000}x}{11}
Calculate 10 to the power of -7 and get \frac{1}{10000000}.
\theta \times 0.003=\frac{1}{110000000}x
Divide \frac{1}{10000000}x by 11 to get \frac{1}{110000000}x.
\frac{1}{110000000}x=\theta \times 0.003
Swap sides so that all variable terms are on the left hand side.
\frac{1}{110000000}x=\frac{3\theta }{1000}
The equation is in standard form.
\frac{\frac{1}{110000000}x}{\frac{1}{110000000}}=\frac{3\theta }{\frac{1}{110000000}\times 1000}
Multiply both sides by 110000000.
x=\frac{3\theta }{\frac{1}{110000000}\times 1000}
Dividing by \frac{1}{110000000} undoes the multiplication by \frac{1}{110000000}.
x=330000\theta
Divide \frac{3\theta }{1000} by \frac{1}{110000000} by multiplying \frac{3\theta }{1000} by the reciprocal of \frac{1}{110000000}.
\theta \times 0.003=\frac{10^{-7}x}{11}
Cancel out 2\times 2\pi in both numerator and denominator.
\theta \times 0.003=\frac{\frac{1}{10000000}x}{11}
Calculate 10 to the power of -7 and get \frac{1}{10000000}.
\theta \times 0.003=\frac{1}{110000000}x
Divide \frac{1}{10000000}x by 11 to get \frac{1}{110000000}x.
0.003\theta =\frac{x}{110000000}
The equation is in standard form.
\frac{0.003\theta }{0.003}=\frac{x}{0.003\times 110000000}
Divide both sides of the equation by 0.003, which is the same as multiplying both sides by the reciprocal of the fraction.
\theta =\frac{x}{0.003\times 110000000}
Dividing by 0.003 undoes the multiplication by 0.003.
\theta =\frac{x}{330000}
Divide \frac{x}{110000000} by 0.003 by multiplying \frac{x}{110000000} by the reciprocal of 0.003.