The problem shown in the image asks:

"Hvilken faktor mangler, for at du får det samme produkt på begge sider af lighedstegnet?"
(Translation: "Which factor is missing so that you get the same product on both sides of the equals sign?")

The equation given is:

$\text{Missing factor} \cdot 18 = 10 \cdot 18 \cdot 6$

Step-by-step solution:

1. First, calculate the right-hand side: $10 \cdot 18 \cdot 6 = 1080$

2. Now, the equation becomes: $\text{Missing factor} \cdot 18 = 1080$

3. To find the missing factor, divide both sides of the equation by 18: $\text{Missing factor} = \frac{1080}{18} = 60$

So, the missing factor is 60.

Would you like more details, or do you have any further questions?

Here are 5 related questions:

1. What would happen if the number 18 was replaced with 12 in the equation?
2. How can you check if your answer is correct in such problems?
3. Can you describe what the term "factor" means in mathematics?
4. What happens if the missing factor in an equation is negative?
5. How do you handle such problems if the numbers are much larger?

Tip: Always start by simplifying the known side of an equation before attempting to solve for unknown factors.