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Finding the Third Proportional to 268,412,685,497 and 416,761,864,440

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Solution

The third proportional to 268,412,685,497 and 416,761,864,440 is: 647,102,246,042.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,412,685,497 : 416,761,864,440 = 416,761,864,440 : x
  2. Step 2: Convert to fraction form
    268,412,685,497/416,761,864,440 = 416,761,864,440/x
  3. Step 3: Cross multiply
    268,412,685,497x = 416,761,864,440 × 416,761,864,440
  4. Step 4: Simplify right side
    268,412,685,497x = 173,690,451,651,504,942,088,192
  5. Step 5: Solve for x
    x = 173,690,451,651,504,942,088,192/268,412,685,497
  6. Step 6: Final answer
    x = 647,102,246,042.86

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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.