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Finding the Third Proportional to 15,906,304 and 24,321,672

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Solution

The third proportional to 15,906,304 and 24,321,672 is: 37,189,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906,304 : 24,321,672 = 24,321,672 : x
  2. Step 2: Convert to fraction form
    15,906,304/24,321,672 = 24,321,672/x
  3. Step 3: Cross multiply
    15,906,304x = 24,321,672 × 24,321,672
  4. Step 4: Simplify right side
    15,906,304x = 591,543,728,875,584
  5. Step 5: Solve for x
    x = 591,543,728,875,584/15,906,304
  6. Step 6: Final answer
    x = 37,189,263.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.