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Finding the Third Proportional to 5,915,600 and 12,727,872

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Solution

The third proportional to 5,915,600 and 12,727,872 is: 27,385,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915,600 : 12,727,872 = 12,727,872 : x
  2. Step 2: Convert to fraction form
    5,915,600/12,727,872 = 12,727,872/x
  3. Step 3: Cross multiply
    5,915,600x = 12,727,872 × 12,727,872
  4. Step 4: Simplify right side
    5,915,600x = 161,998,725,648,384
  5. Step 5: Solve for x
    x = 161,998,725,648,384/5,915,600
  6. Step 6: Final answer
    x = 27,385,003.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.