To solve the expression \(33:9 \cdot 10\), we need to interpret the colon (:) as division. Thus, the expression can be rewritten as:
\[ \frac{33}{9} \cdot 10 \]
First, we calculate \(\frac{33}{9}\):
\[ \frac{33}{9} = 3.6667 \quad \text{(approximately)} \]
Now, multiply this result by 10:
\[ 3.6667 \cdot 10 = 36.667 \quad \text{(approximately)} \]
So, the final answer is approximately 36.67.
If you want to express it in fraction form:
\[ \frac{33 \cdot 10}{9} = \frac{330}{9} \]
This can also be simplified further, resulting in approximately 36.67 as a decimal.