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Finding the Third Proportional to 63,132,361,102 and 137,378,560,940

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Solution

The third proportional to 63,132,361,102 and 137,378,560,940 is: 298,941,282,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132,361,102 : 137,378,560,940 = 137,378,560,940 : x
  2. Step 2: Convert to fraction form
    63,132,361,102/137,378,560,940 = 137,378,560,940/x
  3. Step 3: Cross multiply
    63,132,361,102x = 137,378,560,940 × 137,378,560,940
  4. Step 4: Simplify right side
    63,132,361,102x = 18,872,869,005,945,292,718,080
  5. Step 5: Solve for x
    x = 18,872,869,005,945,292,718,080/63,132,361,102
  6. Step 6: Final answer
    x = 298,941,282,672.02

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