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Finding the Third Proportional to 2,561,476 and 5,520,200

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Solution

The third proportional to 2,561,476 and 5,520,200 is: 11,896,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561,476 : 5,520,200 = 5,520,200 : x
  2. Step 2: Convert to fraction form
    2,561,476/5,520,200 = 5,520,200/x
  3. Step 3: Cross multiply
    2,561,476x = 5,520,200 × 5,520,200
  4. Step 4: Simplify right side
    2,561,476x = 30,472,608,040,000
  5. Step 5: Solve for x
    x = 30,472,608,040,000/2,561,476
  6. Step 6: Final answer
    x = 11,896,503.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.