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Finding the Third Proportional to 357,387,951,765 and 765,761,986,812

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Solution

The third proportional to 357,387,951,765 and 765,761,986,812 is: 1,640,769,974,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,387,951,765 : 765,761,986,812 = 765,761,986,812 : x
  2. Step 2: Convert to fraction form
    357,387,951,765/765,761,986,812 = 765,761,986,812/x
  3. Step 3: Cross multiply
    357,387,951,765x = 765,761,986,812 × 765,761,986,812
  4. Step 4: Simplify right side
    357,387,951,765x = 586,391,420,446,261,637,021,696
  5. Step 5: Solve for x
    x = 586,391,420,446,261,637,021,696/357,387,951,765
  6. Step 6: Final answer
    x = 1,640,769,974,338.26

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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.