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Finding the Third Proportional to 357,387,951,762 and 765,761,986,806

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Solution

The third proportional to 357,387,951,762 and 765,761,986,806 is: 1,640,769,974,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,387,951,762 : 765,761,986,806 = 765,761,986,806 : x
  2. Step 2: Convert to fraction form
    357,387,951,762/765,761,986,806 = 765,761,986,806/x
  3. Step 3: Cross multiply
    357,387,951,762x = 765,761,986,806 × 765,761,986,806
  4. Step 4: Simplify right side
    357,387,951,762x = 586,391,420,437,072,487,383,040
  5. Step 5: Solve for x
    x = 586,391,420,437,072,487,383,040/357,387,951,762
  6. Step 6: Final answer
    x = 1,640,769,974,326.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.