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Finding the Third Proportional to 41,488,813,310.50 and 89,270,171,276.50

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Solution

The third proportional to 41,488,813,310.50 and 89,270,171,276.50 is: 192,079,812,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488,813,310.50 : 89,270,171,276.50 = 89,270,171,276.50 : x
  2. Step 2: Convert to fraction form
    41,488,813,310.50/89,270,171,276.50 = 89,270,171,276.50/x
  3. Step 3: Cross multiply
    41,488,813,310.50x = 89,270,171,276.50 × 89,270,171,276.50
  4. Step 4: Simplify right side
    41,488,813,310.50x = 7,969,163,479,735,645,241,344
  5. Step 5: Solve for x
    x = 7,969,163,479,735,645,241,344/41,488,813,310.50
  6. Step 6: Final answer
    x = 192,079,812,456.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.