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Finding the Third Proportional to 51,739,716 and 86,227,670

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Solution

The third proportional to 51,739,716 and 86,227,670 is: 143,704,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,739,716 : 86,227,670 = 86,227,670 : x
  2. Step 2: Convert to fraction form
    51,739,716/86,227,670 = 86,227,670/x
  3. Step 3: Cross multiply
    51,739,716x = 86,227,670 × 86,227,670
  4. Step 4: Simplify right side
    51,739,716x = 7,435,211,073,628,900
  5. Step 5: Solve for x
    x = 7,435,211,073,628,900/51,739,716
  6. Step 6: Final answer
    x = 143,704,133.85

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.