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Finding the Third Proportional to 22,383,021 and 49,471,005

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Solution

The third proportional to 22,383,021 and 49,471,005 is: 109,340,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,383,021 : 49,471,005 = 49,471,005 : x
  2. Step 2: Convert to fraction form
    22,383,021/49,471,005 = 49,471,005/x
  3. Step 3: Cross multiply
    22,383,021x = 49,471,005 × 49,471,005
  4. Step 4: Simplify right side
    22,383,021x = 2,447,380,335,710,025
  5. Step 5: Solve for x
    x = 2,447,380,335,710,025/22,383,021
  6. Step 6: Final answer
    x = 109,340,930.15

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.