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Finding the Third Proportional to 2,609,371.97 and 5,397,736.22

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Solution

The third proportional to 2,609,371.97 and 5,397,736.22 is: 11,165,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,371.97 : 5,397,736.22 = 5,397,736.22 : x
  2. Step 2: Convert to fraction form
    2,609,371.97/5,397,736.22 = 5,397,736.22/x
  3. Step 3: Cross multiply
    2,609,371.97x = 5,397,736.22 × 5,397,736.22
  4. Step 4: Simplify right side
    2,609,371.97x = 29,135,556,287,205.55
  5. Step 5: Solve for x
    x = 29,135,556,287,205.55/2,609,371.97
  6. Step 6: Final answer
    x = 11,165,735.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.