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Finding the Third Proportional to 499,615,963.31 and 1,082,634,903

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Solution

The third proportional to 499,615,963.31 and 1,082,634,903 is: 2,345,998,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,615,963.31 : 1,082,634,903 = 1,082,634,903 : x
  2. Step 2: Convert to fraction form
    499,615,963.31/1,082,634,903 = 1,082,634,903/x
  3. Step 3: Cross multiply
    499,615,963.31x = 1,082,634,903 × 1,082,634,903
  4. Step 4: Simplify right side
    499,615,963.31x = 1,172,098,333,193,819,392
  5. Step 5: Solve for x
    x = 1,172,098,333,193,819,392/499,615,963.31
  6. Step 6: Final answer
    x = 2,345,998,565.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.