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Finding the Third Proportional to 31,900,708 and 69,977,448

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Solution

The third proportional to 31,900,708 and 69,977,448 is: 153,502,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,708 : 69,977,448 = 69,977,448 : x
  2. Step 2: Convert to fraction form
    31,900,708/69,977,448 = 69,977,448/x
  3. Step 3: Cross multiply
    31,900,708x = 69,977,448 × 69,977,448
  4. Step 4: Simplify right side
    31,900,708x = 4,896,843,228,592,704
  5. Step 5: Solve for x
    x = 4,896,843,228,592,704/31,900,708
  6. Step 6: Final answer
    x = 153,502,650.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.