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Finding the Third Proportional to 4,712,987 and 7,206,448

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Solution

The third proportional to 4,712,987 and 7,206,448 is: 11,019,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,987 : 7,206,448 = 7,206,448 : x
  2. Step 2: Convert to fraction form
    4,712,987/7,206,448 = 7,206,448/x
  3. Step 3: Cross multiply
    4,712,987x = 7,206,448 × 7,206,448
  4. Step 4: Simplify right side
    4,712,987x = 51,932,892,776,704
  5. Step 5: Solve for x
    x = 51,932,892,776,704/4,712,987
  6. Step 6: Final answer
    x = 11,019,103.76

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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.