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Finding the Third Proportional to 49,542,133 and 103,601,514

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Solution

The third proportional to 49,542,133 and 103,601,514 is: 216,649,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,133 : 103,601,514 = 103,601,514 : x
  2. Step 2: Convert to fraction form
    49,542,133/103,601,514 = 103,601,514/x
  3. Step 3: Cross multiply
    49,542,133x = 103,601,514 × 103,601,514
  4. Step 4: Simplify right side
    49,542,133x = 10,733,273,703,092,196
  5. Step 5: Solve for x
    x = 10,733,273,703,092,196/49,542,133
  6. Step 6: Final answer
    x = 216,649,406.34

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