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Finding the Third Proportional to 5,646,625 and 7,618,632

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Solution

The third proportional to 5,646,625 and 7,618,632 is: 10,279,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,625 : 7,618,632 = 7,618,632 : x
  2. Step 2: Convert to fraction form
    5,646,625/7,618,632 = 7,618,632/x
  3. Step 3: Cross multiply
    5,646,625x = 7,618,632 × 7,618,632
  4. Step 4: Simplify right side
    5,646,625x = 58,043,553,551,424
  5. Step 5: Solve for x
    x = 58,043,553,551,424/5,646,625
  6. Step 6: Final answer
    x = 10,279,335.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.