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Finding the Third Proportional to 51,704,874 and 78,631,614

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Solution

The third proportional to 51,704,874 and 78,631,614 is: 119,581,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,704,874 : 78,631,614 = 78,631,614 : x
  2. Step 2: Convert to fraction form
    51,704,874/78,631,614 = 78,631,614/x
  3. Step 3: Cross multiply
    51,704,874x = 78,631,614 × 78,631,614
  4. Step 4: Simplify right side
    51,704,874x = 6,182,930,720,244,996
  5. Step 5: Solve for x
    x = 6,182,930,720,244,996/51,704,874
  6. Step 6: Final answer
    x = 119,581,196.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.