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Finding the Third Proportional to 538,062,171 and 1,119,067,182

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Solution

The third proportional to 538,062,171 and 1,119,067,182 is: 2,327,447,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,062,171 : 1,119,067,182 = 1,119,067,182 : x
  2. Step 2: Convert to fraction form
    538,062,171/1,119,067,182 = 1,119,067,182/x
  3. Step 3: Cross multiply
    538,062,171x = 1,119,067,182 × 1,119,067,182
  4. Step 4: Simplify right side
    538,062,171x = 1,252,311,357,829,421,056
  5. Step 5: Solve for x
    x = 1,252,311,357,829,421,056/538,062,171
  6. Step 6: Final answer
    x = 2,327,447,319.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.