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Finding the Third Proportional to 2,560,299 and 5,500,122

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Solution

The third proportional to 2,560,299 and 5,500,122 is: 11,815,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560,299 : 5,500,122 = 5,500,122 : x
  2. Step 2: Convert to fraction form
    2,560,299/5,500,122 = 5,500,122/x
  3. Step 3: Cross multiply
    2,560,299x = 5,500,122 × 5,500,122
  4. Step 4: Simplify right side
    2,560,299x = 30,251,342,014,884
  5. Step 5: Solve for x
    x = 30,251,342,014,884/2,560,299
  6. Step 6: Final answer
    x = 11,815,550.46

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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.