
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The difference between the radii of two externally tangent circles is $5 \mathrm{~cm}$. The distance between the common tangent and the intersection point with the line connecting the centers is 2.4 times the radius of the smaller circle. What are the radii of the two circles?

Present the answer in LaTex format: \boxed{Your answer}
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