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Finding the Third Proportional to 6,487,713 and 9,125,782

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Solution

The third proportional to 6,487,713 and 9,125,782 is: 12,836,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487,713 : 9,125,782 = 9,125,782 : x
  2. Step 2: Convert to fraction form
    6,487,713/9,125,782 = 9,125,782/x
  3. Step 3: Cross multiply
    6,487,713x = 9,125,782 × 9,125,782
  4. Step 4: Simplify right side
    6,487,713x = 83,279,897,111,524
  5. Step 5: Solve for x
    x = 83,279,897,111,524/6,487,713
  6. Step 6: Final answer
    x = 12,836,556.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.