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Finding the Third Proportional to 487,183,171 and 1,149,665,086

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Solution

The third proportional to 487,183,171 and 1,149,665,086 is: 2,713,003,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,183,171 : 1,149,665,086 = 1,149,665,086 : x
  2. Step 2: Convert to fraction form
    487,183,171/1,149,665,086 = 1,149,665,086/x
  3. Step 3: Cross multiply
    487,183,171x = 1,149,665,086 × 1,149,665,086
  4. Step 4: Simplify right side
    487,183,171x = 1,321,729,809,967,387,392
  5. Step 5: Solve for x
    x = 1,321,729,809,967,387,392/487,183,171
  6. Step 6: Final answer
    x = 2,713,003,832.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.