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Finding the Third Proportional to 4,108,542 and 9,161,220

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Solution

The third proportional to 4,108,542 and 9,161,220 is: 20,427,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108,542 : 9,161,220 = 9,161,220 : x
  2. Step 2: Convert to fraction form
    4,108,542/9,161,220 = 9,161,220/x
  3. Step 3: Cross multiply
    4,108,542x = 9,161,220 × 9,161,220
  4. Step 4: Simplify right side
    4,108,542x = 83,927,951,888,400
  5. Step 5: Solve for x
    x = 83,927,951,888,400/4,108,542
  6. Step 6: Final answer
    x = 20,427,672.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.