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Finding the Third Proportional to 11,840,684 and 25,508,625

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Solution

The third proportional to 11,840,684 and 25,508,625 is: 54,953,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840,684 : 25,508,625 = 25,508,625 : x
  2. Step 2: Convert to fraction form
    11,840,684/25,508,625 = 25,508,625/x
  3. Step 3: Cross multiply
    11,840,684x = 25,508,625 × 25,508,625
  4. Step 4: Simplify right side
    11,840,684x = 650,689,949,390,625
  5. Step 5: Solve for x
    x = 650,689,949,390,625/11,840,684
  6. Step 6: Final answer
    x = 54,953,746.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.