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Finding the Third Proportional to 11,431,125 and 24,657,021

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Solution

The third proportional to 11,431,125 and 24,657,021 is: 53,185,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431,125 : 24,657,021 = 24,657,021 : x
  2. Step 2: Convert to fraction form
    11,431,125/24,657,021 = 24,657,021/x
  3. Step 3: Cross multiply
    11,431,125x = 24,657,021 × 24,657,021
  4. Step 4: Simplify right side
    11,431,125x = 607,968,684,594,441
  5. Step 5: Solve for x
    x = 607,968,684,594,441/11,431,125
  6. Step 6: Final answer
    x = 53,185,376.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.