
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
A $6 \times 9$ rectangle is used to form two different cylinders by rolling the rectangle along its length and its width. Determine the ratio of the volume of the larger cylinder to the volume of the smaller cylinder. Express your answer as a common fraction.

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