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Finding the Third Proportional to 4,199,775 and 6,515,448

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Solution

The third proportional to 4,199,775 and 6,515,448 is: 10,107,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199,775 : 6,515,448 = 6,515,448 : x
  2. Step 2: Convert to fraction form
    4,199,775/6,515,448 = 6,515,448/x
  3. Step 3: Cross multiply
    4,199,775x = 6,515,448 × 6,515,448
  4. Step 4: Simplify right side
    4,199,775x = 42,451,062,640,704
  5. Step 5: Solve for x
    x = 42,451,062,640,704/4,199,775
  6. Step 6: Final answer
    x = 10,107,937.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.