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Finding the Third Proportional to 5,223,949 and 7,914,925

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Solution

The third proportional to 5,223,949 and 7,914,925 is: 11,992,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223,949 : 7,914,925 = 7,914,925 : x
  2. Step 2: Convert to fraction form
    5,223,949/7,914,925 = 7,914,925/x
  3. Step 3: Cross multiply
    5,223,949x = 7,914,925 × 7,914,925
  4. Step 4: Simplify right side
    5,223,949x = 62,646,037,755,625
  5. Step 5: Solve for x
    x = 62,646,037,755,625/5,223,949
  6. Step 6: Final answer
    x = 11,992,084.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.