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Finding the Third Proportional to 563,941,797 and 862,121,712

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Solution

The third proportional to 563,941,797 and 862,121,712 is: 1,317,961,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,941,797 : 862,121,712 = 862,121,712 : x
  2. Step 2: Convert to fraction form
    563,941,797/862,121,712 = 862,121,712/x
  3. Step 3: Cross multiply
    563,941,797x = 862,121,712 × 862,121,712
  4. Step 4: Simplify right side
    563,941,797x = 743,253,846,301,810,944
  5. Step 5: Solve for x
    x = 743,253,846,301,810,944/563,941,797
  6. Step 6: Final answer
    x = 1,317,961,978.09

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Why These Related Problems?

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