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Finding the Third Proportional to 357,387,951,763 and 765,761,986,808

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Solution

The third proportional to 357,387,951,763 and 765,761,986,808 is: 1,640,769,974,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,387,951,763 : 765,761,986,808 = 765,761,986,808 : x
  2. Step 2: Convert to fraction form
    357,387,951,763/765,761,986,808 = 765,761,986,808/x
  3. Step 3: Cross multiply
    357,387,951,763x = 765,761,986,808 × 765,761,986,808
  4. Step 4: Simplify right side
    357,387,951,763x = 586,391,420,440,135,537,262,592
  5. Step 5: Solve for x
    x = 586,391,420,440,135,537,262,592/357,387,951,763
  6. Step 6: Final answer
    x = 1,640,769,974,330.30

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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.