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Finding the Third Proportional to 11,438,129.25 and 17,425,199.25

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Solution

The third proportional to 11,438,129.25 and 17,425,199.25 is: 26,546,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438,129.25 : 17,425,199.25 = 17,425,199.25 : x
  2. Step 2: Convert to fraction form
    11,438,129.25/17,425,199.25 = 17,425,199.25/x
  3. Step 3: Cross multiply
    11,438,129.25x = 17,425,199.25 × 17,425,199.25
  4. Step 4: Simplify right side
    11,438,129.25x = 303,637,568,902,200.56
  5. Step 5: Solve for x
    x = 303,637,568,902,200.56/11,438,129.25
  6. Step 6: Final answer
    x = 26,546,086.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.