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Finding the Third Proportional to 12,202,110 and 16,194,009

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Solution

The third proportional to 12,202,110 and 16,194,009 is: 21,491,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202,110 : 16,194,009 = 16,194,009 : x
  2. Step 2: Convert to fraction form
    12,202,110/16,194,009 = 16,194,009/x
  3. Step 3: Cross multiply
    12,202,110x = 16,194,009 × 16,194,009
  4. Step 4: Simplify right side
    12,202,110x = 262,245,927,492,081
  5. Step 5: Solve for x
    x = 262,245,927,492,081/12,202,110
  6. Step 6: Final answer
    x = 21,491,850.79

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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.