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Finding the Third Proportional to 414,394,341,398.62 and 901,758,392,661

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Solution

The third proportional to 414,394,341,398.62 and 901,758,392,661 is: 1,962,305,266,983.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,394,341,398.62 : 901,758,392,661 = 901,758,392,661 : x
  2. Step 2: Convert to fraction form
    414,394,341,398.62/901,758,392,661 = 901,758,392,661/x
  3. Step 3: Cross multiply
    414,394,341,398.62x = 901,758,392,661 × 901,758,392,661
  4. Step 4: Simplify right side
    414,394,341,398.62x = 813,168,198,734,550,317,137,920
  5. Step 5: Solve for x
    x = 813,168,198,734,550,317,137,920/414,394,341,398.62
  6. Step 6: Final answer
    x = 1,962,305,266,983.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.