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Finding the Third Proportional to 10,295,190 and 22,383,180

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Solution

The third proportional to 10,295,190 and 22,383,180 is: 48,664,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,190 : 22,383,180 = 22,383,180 : x
  2. Step 2: Convert to fraction form
    10,295,190/22,383,180 = 22,383,180/x
  3. Step 3: Cross multiply
    10,295,190x = 22,383,180 × 22,383,180
  4. Step 4: Simplify right side
    10,295,190x = 501,006,746,912,400
  5. Step 5: Solve for x
    x = 501,006,746,912,400/10,295,190
  6. Step 6: Final answer
    x = 48,664,157.43

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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.