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Finding the Third Proportional to 414,394,341,396 and 901,758,392,658

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Solution

The third proportional to 414,394,341,396 and 901,758,392,658 is: 1,962,305,266,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,394,341,396 : 901,758,392,658 = 901,758,392,658 : x
  2. Step 2: Convert to fraction form
    414,394,341,396/901,758,392,658 = 901,758,392,658/x
  3. Step 3: Cross multiply
    414,394,341,396x = 901,758,392,658 × 901,758,392,658
  4. Step 4: Simplify right side
    414,394,341,396x = 813,168,198,729,139,732,086,784
  5. Step 5: Solve for x
    x = 813,168,198,729,139,732,086,784/414,394,341,396
  6. Step 6: Final answer
    x = 1,962,305,266,982.56

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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.