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Finding the Third Proportional to 2,561,233.50 and 5,454,287.75

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Solution

The third proportional to 2,561,233.50 and 5,454,287.75 is: 11,615,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,233.50 : 5,454,287.75 = 5,454,287.75 : x
  2. Step 2: Convert to fraction form
    2,561,233.50/5,454,287.75 = 5,454,287.75/x
  3. Step 3: Cross multiply
    2,561,233.50x = 5,454,287.75 × 5,454,287.75
  4. Step 4: Simplify right side
    2,561,233.50x = 29,749,254,859,800.06
  5. Step 5: Solve for x
    x = 29,749,254,859,800.06/2,561,233.50
  6. Step 6: Final answer
    x = 11,615,206.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.