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Finding the Third Proportional to 5,148,002 and 7,712,067

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Solution

The third proportional to 5,148,002 and 7,712,067 is: 11,553,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,002 : 7,712,067 = 7,712,067 : x
  2. Step 2: Convert to fraction form
    5,148,002/7,712,067 = 7,712,067/x
  3. Step 3: Cross multiply
    5,148,002x = 7,712,067 × 7,712,067
  4. Step 4: Simplify right side
    5,148,002x = 59,475,977,412,489
  5. Step 5: Solve for x
    x = 59,475,977,412,489/5,148,002
  6. Step 6: Final answer
    x = 11,553,215.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.