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Finding the Third Proportional to 31,399,864,740 and 63,722,398,536

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Solution

The third proportional to 31,399,864,740 and 63,722,398,536 is: 129,317,247,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,399,864,740 : 63,722,398,536 = 63,722,398,536 : x
  2. Step 2: Convert to fraction form
    31,399,864,740/63,722,398,536 = 63,722,398,536/x
  3. Step 3: Cross multiply
    31,399,864,740x = 63,722,398,536 × 63,722,398,536
  4. Step 4: Simplify right side
    31,399,864,740x = 4,060,544,075,180,815,155,200
  5. Step 5: Solve for x
    x = 4,060,544,075,180,815,155,200/31,399,864,740
  6. Step 6: Final answer
    x = 129,317,247,344.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.