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Finding the Third Proportional to 12,202,114.50 and 16,194,015

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Solution

The third proportional to 12,202,114.50 and 16,194,015 is: 21,491,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202,114.50 : 16,194,015 = 16,194,015 : x
  2. Step 2: Convert to fraction form
    12,202,114.50/16,194,015 = 16,194,015/x
  3. Step 3: Cross multiply
    12,202,114.50x = 16,194,015 × 16,194,015
  4. Step 4: Simplify right side
    12,202,114.50x = 262,246,121,820,225
  5. Step 5: Solve for x
    x = 262,246,121,820,225/12,202,114.50
  6. Step 6: Final answer
    x = 21,491,858.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.