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Finding the Third Proportional to 49,542,124 and 103,601,497

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Solution

The third proportional to 49,542,124 and 103,601,497 is: 216,649,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,124 : 103,601,497 = 103,601,497 : x
  2. Step 2: Convert to fraction form
    49,542,124/103,601,497 = 103,601,497/x
  3. Step 3: Cross multiply
    49,542,124x = 103,601,497 × 103,601,497
  4. Step 4: Simplify right side
    49,542,124x = 10,733,270,180,641,008
  5. Step 5: Solve for x
    x = 10,733,270,180,641,008/49,542,124
  6. Step 6: Final answer
    x = 216,649,374.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.