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Finding the Third Proportional to 563,945,976 and 862,131,744

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Solution

The third proportional to 563,945,976 and 862,131,744 is: 1,317,982,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,945,976 : 862,131,744 = 862,131,744 : x
  2. Step 2: Convert to fraction form
    563,945,976/862,131,744 = 862,131,744/x
  3. Step 3: Cross multiply
    563,945,976x = 862,131,744 × 862,131,744
  4. Step 4: Simplify right side
    563,945,976x = 743,271,144,012,481,536
  5. Step 5: Solve for x
    x = 743,271,144,012,481,536/563,945,976
  6. Step 6: Final answer
    x = 1,317,982,884.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.