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Finding the Third Proportional to 414,394,341,390 and 901,758,392,645

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Solution

The third proportional to 414,394,341,390 and 901,758,392,645 is: 1,962,305,266,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,394,341,390 : 901,758,392,645 = 901,758,392,645 : x
  2. Step 2: Convert to fraction form
    414,394,341,390/901,758,392,645 = 901,758,392,645/x
  3. Step 3: Cross multiply
    414,394,341,390x = 901,758,392,645 × 901,758,392,645
  4. Step 4: Simplify right side
    414,394,341,390x = 813,168,198,705,694,042,488,832
  5. Step 5: Solve for x
    x = 813,168,198,705,694,042,488,832/414,394,341,390
  6. Step 6: Final answer
    x = 1,962,305,266,954.39

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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.