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Finding the Third Proportional to 31,566,942 and 67,833,234

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Solution

The third proportional to 31,566,942 and 67,833,234 is: 145,764,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,942 : 67,833,234 = 67,833,234 : x
  2. Step 2: Convert to fraction form
    31,566,942/67,833,234 = 67,833,234/x
  3. Step 3: Cross multiply
    31,566,942x = 67,833,234 × 67,833,234
  4. Step 4: Simplify right side
    31,566,942x = 4,601,347,634,898,756
  5. Step 5: Solve for x
    x = 4,601,347,634,898,756/31,566,942
  6. Step 6: Final answer
    x = 145,764,757.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.