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Finding the Third Proportional to 31,834,231 and 68,207,026

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Solution

The third proportional to 31,834,231 and 68,207,026 is: 146,138,237.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,231 : 68,207,026 = 68,207,026 : x
  2. Step 2: Convert to fraction form
    31,834,231/68,207,026 = 68,207,026/x
  3. Step 3: Cross multiply
    31,834,231x = 68,207,026 × 68,207,026
  4. Step 4: Simplify right side
    31,834,231x = 4,652,198,395,764,676
  5. Step 5: Solve for x
    x = 4,652,198,395,764,676/31,834,231
  6. Step 6: Final answer
    x = 146,138,237.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.