2:n=18:81
You asked:
Solve \(2 : n=18 : 81\) for the variable \(n\).
MathBot Answer:
$$\begin{aligned}n &= 9\end{aligned}$$
Express both ratios as fractions. \[\frac{2}{n} = \frac{18}{81}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{2}{n} &= \frac{18}{81} \\ 162 &= 18 n \\ n &&= 9 \end{aligned}$$