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Finding the Third Proportional to 2,594,162.11 and 5,677,016.20

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Solution

The third proportional to 2,594,162.11 and 5,677,016.20 is: 12,423,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,162.11 : 5,677,016.20 = 5,677,016.20 : x
  2. Step 2: Convert to fraction form
    2,594,162.11/5,677,016.20 = 5,677,016.20/x
  3. Step 3: Cross multiply
    2,594,162.11x = 5,677,016.20 × 5,677,016.20
  4. Step 4: Simplify right side
    2,594,162.11x = 32,228,512,970,543.79
  5. Step 5: Solve for x
    x = 32,228,512,970,543.79/2,594,162.11
  6. Step 6: Final answer
    x = 12,423,476.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.