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Finding the Third Proportional to 2,561,231.39 and 5,225,343.86

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Solution

The third proportional to 2,561,231.39 and 5,225,343.86 is: 10,660,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,231.39 : 5,225,343.86 = 5,225,343.86 : x
  2. Step 2: Convert to fraction form
    2,561,231.39/5,225,343.86 = 5,225,343.86/x
  3. Step 3: Cross multiply
    2,561,231.39x = 5,225,343.86 × 5,225,343.86
  4. Step 4: Simplify right side
    2,561,231.39x = 27,304,218,407,885.55
  5. Step 5: Solve for x
    x = 27,304,218,407,885.55/2,561,231.39
  6. Step 6: Final answer
    x = 10,660,582.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.