
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
In Dr. Collins' lecture, 18 out of 30 students passed the final exam. If the same ratio of students passed the final exam in Professor Dixon's lecture, and Professor Dixon has 45 students, how many students in Professor Dixon's lecture passed the final exam?

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