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Finding the Third Proportional to 2,747,111.20 and 5,982,401.81

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Solution

The third proportional to 2,747,111.20 and 5,982,401.81 is: 13,027,915.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747,111.20 : 5,982,401.81 = 5,982,401.81 : x
  2. Step 2: Convert to fraction form
    2,747,111.20/5,982,401.81 = 5,982,401.81/x
  3. Step 3: Cross multiply
    2,747,111.20x = 5,982,401.81 × 5,982,401.81
  4. Step 4: Simplify right side
    2,747,111.20x = 35,789,131,446,203.28
  5. Step 5: Solve for x
    x = 35,789,131,446,203.28/2,747,111.20
  6. Step 6: Final answer
    x = 13,027,915.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.