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Finding the Third Proportional to 73,382,638 and 159,678,422

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Solution

The third proportional to 73,382,638 and 159,678,422 is: 347,455,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,382,638 : 159,678,422 = 159,678,422 : x
  2. Step 2: Convert to fraction form
    73,382,638/159,678,422 = 159,678,422/x
  3. Step 3: Cross multiply
    73,382,638x = 159,678,422 × 159,678,422
  4. Step 4: Simplify right side
    73,382,638x = 25,497,198,452,410,084
  5. Step 5: Solve for x
    x = 25,497,198,452,410,084/73,382,638
  6. Step 6: Final answer
    x = 347,455,462.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.