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Finding the Third Proportional to 31,367,276 and 67,945,624

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Solution

The third proportional to 31,367,276 and 67,945,624 is: 147,179,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367,276 : 67,945,624 = 67,945,624 : x
  2. Step 2: Convert to fraction form
    31,367,276/67,945,624 = 67,945,624/x
  3. Step 3: Cross multiply
    31,367,276x = 67,945,624 × 67,945,624
  4. Step 4: Simplify right side
    31,367,276x = 4,616,607,820,749,376
  5. Step 5: Solve for x
    x = 4,616,607,820,749,376/31,367,276
  6. Step 6: Final answer
    x = 147,179,111.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.