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Finding the Third Proportional to 10,295,202 and 22,383,204

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Solution

The third proportional to 10,295,202 and 22,383,204 is: 48,664,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,202 : 22,383,204 = 22,383,204 : x
  2. Step 2: Convert to fraction form
    10,295,202/22,383,204 = 22,383,204/x
  3. Step 3: Cross multiply
    10,295,202x = 22,383,204 × 22,383,204
  4. Step 4: Simplify right side
    10,295,202x = 501,007,821,305,616
  5. Step 5: Solve for x
    x = 501,007,821,305,616/10,295,202
  6. Step 6: Final answer
    x = 48,664,205.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.