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Finding the Third Proportional to 2,752,344.75 and 5,755,647

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Solution

The third proportional to 2,752,344.75 and 5,755,647 is: 12,036,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,344.75 : 5,755,647 = 5,755,647 : x
  2. Step 2: Convert to fraction form
    2,752,344.75/5,755,647 = 5,755,647/x
  3. Step 3: Cross multiply
    2,752,344.75x = 5,755,647 × 5,755,647
  4. Step 4: Simplify right side
    2,752,344.75x = 33,127,472,388,609
  5. Step 5: Solve for x
    x = 33,127,472,388,609/2,752,344.75
  6. Step 6: Final answer
    x = 12,036,091.19

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Why These Related Problems?

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