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Finding the Third Proportional to 2,138,744.25 and 4,755,665.25

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Solution

The third proportional to 2,138,744.25 and 4,755,665.25 is: 10,574,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138,744.25 : 4,755,665.25 = 4,755,665.25 : x
  2. Step 2: Convert to fraction form
    2,138,744.25/4,755,665.25 = 4,755,665.25/x
  3. Step 3: Cross multiply
    2,138,744.25x = 4,755,665.25 × 4,755,665.25
  4. Step 4: Simplify right side
    2,138,744.25x = 22,616,351,970,057.56
  5. Step 5: Solve for x
    x = 22,616,351,970,057.56/2,138,744.25
  6. Step 6: Final answer
    x = 10,574,593.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.