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Finding the Third Proportional to 3,086,721 and 6,647,535

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Solution

The third proportional to 3,086,721 and 6,647,535 is: 14,316,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,721 : 6,647,535 = 6,647,535 : x
  2. Step 2: Convert to fraction form
    3,086,721/6,647,535 = 6,647,535/x
  3. Step 3: Cross multiply
    3,086,721x = 6,647,535 × 6,647,535
  4. Step 4: Simplify right side
    3,086,721x = 44,189,721,576,225
  5. Step 5: Solve for x
    x = 44,189,721,576,225/3,086,721
  6. Step 6: Final answer
    x = 14,316,072.48

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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.