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Finding the Third Proportional to 9,380,296 and 14,015,225

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Solution

The third proportional to 9,380,296 and 14,015,225 is: 20,940,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380,296 : 14,015,225 = 14,015,225 : x
  2. Step 2: Convert to fraction form
    9,380,296/14,015,225 = 14,015,225/x
  3. Step 3: Cross multiply
    9,380,296x = 14,015,225 × 14,015,225
  4. Step 4: Simplify right side
    9,380,296x = 196,426,531,800,625
  5. Step 5: Solve for x
    x = 196,426,531,800,625/9,380,296
  6. Step 6: Final answer
    x = 20,940,334.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.