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Finding the Third Proportional to 31,035,717 and 67,443,678

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Solution

The third proportional to 31,035,717 and 67,443,678 is: 146,561,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035,717 : 67,443,678 = 67,443,678 : x
  2. Step 2: Convert to fraction form
    31,035,717/67,443,678 = 67,443,678/x
  3. Step 3: Cross multiply
    31,035,717x = 67,443,678 × 67,443,678
  4. Step 4: Simplify right side
    31,035,717x = 4,548,649,702,167,684
  5. Step 5: Solve for x
    x = 4,548,649,702,167,684/31,035,717
  6. Step 6: Final answer
    x = 146,561,772.75

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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.