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Finding the Third Proportional to 5,753,100 and 9,587,349

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Solution

The third proportional to 5,753,100 and 9,587,349 is: 15,976,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753,100 : 9,587,349 = 9,587,349 : x
  2. Step 2: Convert to fraction form
    5,753,100/9,587,349 = 9,587,349/x
  3. Step 3: Cross multiply
    5,753,100x = 9,587,349 × 9,587,349
  4. Step 4: Simplify right side
    5,753,100x = 91,917,260,847,801
  5. Step 5: Solve for x
    x = 91,917,260,847,801/5,753,100
  6. Step 6: Final answer
    x = 15,976,996.90

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.