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Finding the Third Proportional to 11,131,197.75 and 17,027,847

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Solution

The third proportional to 11,131,197.75 and 17,027,847 is: 26,048,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131,197.75 : 17,027,847 = 17,027,847 : x
  2. Step 2: Convert to fraction form
    11,131,197.75/17,027,847 = 17,027,847/x
  3. Step 3: Cross multiply
    11,131,197.75x = 17,027,847 × 17,027,847
  4. Step 4: Simplify right side
    11,131,197.75x = 289,947,573,455,409
  5. Step 5: Solve for x
    x = 289,947,573,455,409/11,131,197.75
  6. Step 6: Final answer
    x = 26,048,191.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.