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Finding the Third Proportional to 11,023,972 and 16,221,027

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Solution

The third proportional to 11,023,972 and 16,221,027 is: 23,868,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023,972 : 16,221,027 = 16,221,027 : x
  2. Step 2: Convert to fraction form
    11,023,972/16,221,027 = 16,221,027/x
  3. Step 3: Cross multiply
    11,023,972x = 16,221,027 × 16,221,027
  4. Step 4: Simplify right side
    11,023,972x = 263,121,716,934,729
  5. Step 5: Solve for x
    x = 263,121,716,934,729/11,023,972
  6. Step 6: Final answer
    x = 23,868,140.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.