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Finding the Third Proportional to 49,542,184 and 103,601,612

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Solution

The third proportional to 49,542,184 and 103,601,612 is: 216,649,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,184 : 103,601,612 = 103,601,612 : x
  2. Step 2: Convert to fraction form
    49,542,184/103,601,612 = 103,601,612/x
  3. Step 3: Cross multiply
    49,542,184x = 103,601,612 × 103,601,612
  4. Step 4: Simplify right side
    49,542,184x = 10,733,294,008,998,544
  5. Step 5: Solve for x
    x = 10,733,294,008,998,544/49,542,184
  6. Step 6: Final answer
    x = 216,649,593.18

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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.