The problem states that 10 centimeters on the blueprint represent 2 meters in real life, and asks how many actual meters are represented by 18 centimeters on the blueprint.

Step-by-Step Solution:

1. First, find the scale factor. We know that $10 \, \text{cm}$ on the blueprint represents $2 \, \text{m}$.

   The ratio of blueprint centimeters to real meters is: $\frac{10 \, \text{cm}}{2 \, \text{m}} = 5 \, \text{cm per meter}.$ This means that every 5 cm on the blueprint corresponds to 1 meter in real life.

2. Now, to find how many meters are represented by 18 cm: $\frac{18 \, \text{cm}}{5 \, \text{cm per meter}} = 3.6 \, \text{m}.$

Final Answer:

The number of actual meters represented by 18 centimeters on the blueprint is 3.6 meters.

Would you like more details or have any other questions?

Here are 5 related questions to consider:

1. How would the scale change if 10 cm represented 5 meters instead?
2. What would 25 cm on the blueprint represent in real life using the same scale?
3. If the scale was reversed, where 2 meters represented 10 cm, how would the blueprint distance change?
4. How many centimeters on the blueprint would represent 5 meters using this same scale?
5. How would this blueprint scale translate to a smaller object, like a model?

Tip: Always make sure the units in a scale problem match up correctly before solving!