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Finding the Third Proportional to 5,096,539 and 11,200,191

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Solution

The third proportional to 5,096,539 and 11,200,191 is: 24,613,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,539 : 11,200,191 = 11,200,191 : x
  2. Step 2: Convert to fraction form
    5,096,539/11,200,191 = 11,200,191/x
  3. Step 3: Cross multiply
    5,096,539x = 11,200,191 × 11,200,191
  4. Step 4: Simplify right side
    5,096,539x = 125,444,278,436,481
  5. Step 5: Solve for x
    x = 125,444,278,436,481/5,096,539
  6. Step 6: Final answer
    x = 24,613,620.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.