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Finding the Third Proportional to 22,026,690 and 47,241,945

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Solution

The third proportional to 22,026,690 and 47,241,945 is: 101,322,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,026,690 : 47,241,945 = 47,241,945 : x
  2. Step 2: Convert to fraction form
    22,026,690/47,241,945 = 47,241,945/x
  3. Step 3: Cross multiply
    22,026,690x = 47,241,945 × 47,241,945
  4. Step 4: Simplify right side
    22,026,690x = 2,231,801,367,383,025
  5. Step 5: Solve for x
    x = 2,231,801,367,383,025/22,026,690
  6. Step 6: Final answer
    x = 101,322,593.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.