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Finding the Third Proportional to 51,705,888 and 80,171,760

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Solution

The third proportional to 51,705,888 and 80,171,760 is: 124,309,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705,888 : 80,171,760 = 80,171,760 : x
  2. Step 2: Convert to fraction form
    51,705,888/80,171,760 = 80,171,760/x
  3. Step 3: Cross multiply
    51,705,888x = 80,171,760 × 80,171,760
  4. Step 4: Simplify right side
    51,705,888x = 6,427,511,101,497,600
  5. Step 5: Solve for x
    x = 6,427,511,101,497,600/51,705,888
  6. Step 6: Final answer
    x = 124,309,074.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.