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Finding the Third Proportional to 31,464,126 and 68,647,500

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Solution

The third proportional to 31,464,126 and 68,647,500 is: 149,773,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464,126 : 68,647,500 = 68,647,500 : x
  2. Step 2: Convert to fraction form
    31,464,126/68,647,500 = 68,647,500/x
  3. Step 3: Cross multiply
    31,464,126x = 68,647,500 × 68,647,500
  4. Step 4: Simplify right side
    31,464,126x = 4,712,479,256,250,000
  5. Step 5: Solve for x
    x = 4,712,479,256,250,000/31,464,126
  6. Step 6: Final answer
    x = 149,773,086.22

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Why These Related Problems?

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