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Finding the Third Proportional to 2,521,449 and 5,532,462

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Solution

The third proportional to 2,521,449 and 5,532,462 is: 12,139,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521,449 : 5,532,462 = 5,532,462 : x
  2. Step 2: Convert to fraction form
    2,521,449/5,532,462 = 5,532,462/x
  3. Step 3: Cross multiply
    2,521,449x = 5,532,462 × 5,532,462
  4. Step 4: Simplify right side
    2,521,449x = 30,608,135,781,444
  5. Step 5: Solve for x
    x = 30,608,135,781,444/2,521,449
  6. Step 6: Final answer
    x = 12,139,105.64

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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.