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Finding the Third Proportional to 31,749,952 and 67,315,019

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Solution

The third proportional to 31,749,952 and 67,315,019 is: 142,718,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749,952 : 67,315,019 = 67,315,019 : x
  2. Step 2: Convert to fraction form
    31,749,952/67,315,019 = 67,315,019/x
  3. Step 3: Cross multiply
    31,749,952x = 67,315,019 × 67,315,019
  4. Step 4: Simplify right side
    31,749,952x = 4,531,311,782,970,361
  5. Step 5: Solve for x
    x = 4,531,311,782,970,361/31,749,952
  6. Step 6: Final answer
    x = 142,718,697.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.