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Finding the Third Proportional to 2,631,847 and 5,739,650

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Solution

The third proportional to 2,631,847 and 5,739,650 is: 12,517,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631,847 : 5,739,650 = 5,739,650 : x
  2. Step 2: Convert to fraction form
    2,631,847/5,739,650 = 5,739,650/x
  3. Step 3: Cross multiply
    2,631,847x = 5,739,650 × 5,739,650
  4. Step 4: Simplify right side
    2,631,847x = 32,943,582,122,500
  5. Step 5: Solve for x
    x = 32,943,582,122,500/2,631,847
  6. Step 6: Final answer
    x = 12,517,286.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.