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Finding the Third Proportional to 31,434,543 and 68,712,744

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Solution

The third proportional to 31,434,543 and 68,712,744 is: 150,199,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434,543 : 68,712,744 = 68,712,744 : x
  2. Step 2: Convert to fraction form
    31,434,543/68,712,744 = 68,712,744/x
  3. Step 3: Cross multiply
    31,434,543x = 68,712,744 × 68,712,744
  4. Step 4: Simplify right side
    31,434,543x = 4,721,441,188,009,536
  5. Step 5: Solve for x
    x = 4,721,441,188,009,536/31,434,543
  6. Step 6: Final answer
    x = 150,199,135.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.