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Finding the Third Proportional to 63,132,361,112 and 137,378,560,960

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Solution

The third proportional to 63,132,361,112 and 137,378,560,960 is: 298,941,282,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,132,361,112 : 137,378,560,960 = 137,378,560,960 : x
  2. Step 2: Convert to fraction form
    63,132,361,112/137,378,560,960 = 137,378,560,960/x
  3. Step 3: Cross multiply
    63,132,361,112x = 137,378,560,960 × 137,378,560,960
  4. Step 4: Simplify right side
    63,132,361,112x = 18,872,869,011,440,437,035,008
  5. Step 5: Solve for x
    x = 18,872,869,011,440,437,035,008/63,132,361,112
  6. Step 6: Final answer
    x = 298,941,282,711.71

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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.