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Finding the Third Proportional to 49,767,636 and 71,167,805

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Solution

The third proportional to 49,767,636 and 71,167,805 is: 101,770,083.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767,636 : 71,167,805 = 71,167,805 : x
  2. Step 2: Convert to fraction form
    49,767,636/71,167,805 = 71,167,805/x
  3. Step 3: Cross multiply
    49,767,636x = 71,167,805 × 71,167,805
  4. Step 4: Simplify right side
    49,767,636x = 5,064,856,468,518,025
  5. Step 5: Solve for x
    x = 5,064,856,468,518,025/49,767,636
  6. Step 6: Final answer
    x = 101,770,083.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.