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Finding the Third Proportional to 16,791,497,600 and 36,746,145,280

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Solution

The third proportional to 16,791,497,600 and 36,746,145,280 is: 80,414,458,859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,791,497,600 : 36,746,145,280 = 36,746,145,280 : x
  2. Step 2: Convert to fraction form
    16,791,497,600/36,746,145,280 = 36,746,145,280/x
  3. Step 3: Cross multiply
    16,791,497,600x = 36,746,145,280 × 36,746,145,280
  4. Step 4: Simplify right side
    16,791,497,600x = 1,350,279,192,938,866,278,400
  5. Step 5: Solve for x
    x = 1,350,279,192,938,866,278,400/16,791,497,600
  6. Step 6: Final answer
    x = 80,414,458,859.16

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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.