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Finding the Third Proportional to 31,773,512 and 68,585,876

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Solution

The third proportional to 31,773,512 and 68,585,876 is: 148,048,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773,512 : 68,585,876 = 68,585,876 : x
  2. Step 2: Convert to fraction form
    31,773,512/68,585,876 = 68,585,876/x
  3. Step 3: Cross multiply
    31,773,512x = 68,585,876 × 68,585,876
  4. Step 4: Simplify right side
    31,773,512x = 4,704,022,386,687,376
  5. Step 5: Solve for x
    x = 4,704,022,386,687,376/31,773,512
  6. Step 6: Final answer
    x = 148,048,550.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.