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Finding the Third Proportional to 765,615,483 and 1,679,455,782

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Solution

The third proportional to 765,615,483 and 1,679,455,782 is: 3,684,057,841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,615,483 : 1,679,455,782 = 1,679,455,782 : x
  2. Step 2: Convert to fraction form
    765,615,483/1,679,455,782 = 1,679,455,782/x
  3. Step 3: Cross multiply
    765,615,483x = 1,679,455,782 × 1,679,455,782
  4. Step 4: Simplify right side
    765,615,483x = 2,820,571,723,693,231,616
  5. Step 5: Solve for x
    x = 2,820,571,723,693,231,616/765,615,483
  6. Step 6: Final answer
    x = 3,684,057,841.47

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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.