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Finding the Third Proportional to 11,589,766 and 25,197,350

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Solution

The third proportional to 11,589,766 and 25,197,350 is: 54,781,645.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589,766 : 25,197,350 = 25,197,350 : x
  2. Step 2: Convert to fraction form
    11,589,766/25,197,350 = 25,197,350/x
  3. Step 3: Cross multiply
    11,589,766x = 25,197,350 × 25,197,350
  4. Step 4: Simplify right side
    11,589,766x = 634,906,447,022,500
  5. Step 5: Solve for x
    x = 634,906,447,022,500/11,589,766
  6. Step 6: Final answer
    x = 54,781,645.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.