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Finding the Third Proportional to 5,749,593 and 12,665,811

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Solution

The third proportional to 5,749,593 and 12,665,811 is: 27,901,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,593 : 12,665,811 = 12,665,811 : x
  2. Step 2: Convert to fraction form
    5,749,593/12,665,811 = 12,665,811/x
  3. Step 3: Cross multiply
    5,749,593x = 12,665,811 × 12,665,811
  4. Step 4: Simplify right side
    5,749,593x = 160,422,768,287,721
  5. Step 5: Solve for x
    x = 160,422,768,287,721/5,749,593
  6. Step 6: Final answer
    x = 27,901,586.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.