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Finding the Third Proportional to 268,412,685,493 and 416,761,864,436

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Solution

The third proportional to 268,412,685,493 and 416,761,864,436 is: 647,102,246,040.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,412,685,493 : 416,761,864,436 = 416,761,864,436 : x
  2. Step 2: Convert to fraction form
    268,412,685,493/416,761,864,436 = 416,761,864,436/x
  3. Step 3: Cross multiply
    268,412,685,493x = 416,761,864,436 × 416,761,864,436
  4. Step 4: Simplify right side
    268,412,685,493x = 173,690,451,648,170,839,506,944
  5. Step 5: Solve for x
    x = 173,690,451,648,170,839,506,944/268,412,685,493
  6. Step 6: Final answer
    x = 647,102,246,040.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.