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Finding the Third Proportional to 10,295,212.50 and 22,383,225

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Solution

The third proportional to 10,295,212.50 and 22,383,225 is: 48,664,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,212.50 : 22,383,225 = 22,383,225 : x
  2. Step 2: Convert to fraction form
    10,295,212.50/22,383,225 = 22,383,225/x
  3. Step 3: Cross multiply
    10,295,212.50x = 22,383,225 × 22,383,225
  4. Step 4: Simplify right side
    10,295,212.50x = 501,008,761,400,625
  5. Step 5: Solve for x
    x = 501,008,761,400,625/10,295,212.50
  6. Step 6: Final answer
    x = 48,664,246.75

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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.