6 * 3 : 2 * 5 =

Let's solve this step by step:

1. First, we multiply 6 by 3: $$6 \cdot 3 = 18$$.
2. Then, we divide the result by 2: $$18 : 2 = 9$$.
3. Finally, we multiply the result by 5: $$9 \cdot 5 = 45$$.

Answer: 45