What positive number $n$ satisfies the equation <br><br> $\qquad \qquad \qquad \qquad (9)(9)(9)n = \frac{(27)(27)}{n}$

Question

$\begin{array}{1 1} (a)\; 1 \\ (b)\; 3 \\ (c)\; \sqrt{3} \\ (d)\; 9 \end{array}$