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Finding the Third Proportional to 765,615,519 and 1,679,455,854

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Solution

The third proportional to 765,615,519 and 1,679,455,854 is: 3,684,057,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,615,519 : 1,679,455,854 = 1,679,455,854 : x
  2. Step 2: Convert to fraction form
    765,615,519/1,679,455,854 = 1,679,455,854/x
  3. Step 3: Cross multiply
    765,615,519x = 1,679,455,854 × 1,679,455,854
  4. Step 4: Simplify right side
    765,615,519x = 2,820,571,965,534,869,504
  5. Step 5: Solve for x
    x = 2,820,571,965,534,869,504/765,615,519
  6. Step 6: Final answer
    x = 3,684,057,984.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.