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Finding the Third Proportional to 51,413,272 and 75,149,568

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Solution

The third proportional to 51,413,272 and 75,149,568 is: 109,844,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,413,272 : 75,149,568 = 75,149,568 : x
  2. Step 2: Convert to fraction form
    51,413,272/75,149,568 = 75,149,568/x
  3. Step 3: Cross multiply
    51,413,272x = 75,149,568 × 75,149,568
  4. Step 4: Simplify right side
    51,413,272x = 5,647,457,570,586,624
  5. Step 5: Solve for x
    x = 5,647,457,570,586,624/51,413,272
  6. Step 6: Final answer
    x = 109,844,352.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.