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Finding the Third Proportional to 31,607,996 and 68,959,020

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Solution

The third proportional to 31,607,996 and 68,959,020 is: 150,447,577.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607,996 : 68,959,020 = 68,959,020 : x
  2. Step 2: Convert to fraction form
    31,607,996/68,959,020 = 68,959,020/x
  3. Step 3: Cross multiply
    31,607,996x = 68,959,020 × 68,959,020
  4. Step 4: Simplify right side
    31,607,996x = 4,755,346,439,360,400
  5. Step 5: Solve for x
    x = 4,755,346,439,360,400/31,607,996
  6. Step 6: Final answer
    x = 150,447,577.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.