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Finding the Third Proportional to 4,170,616 and 9,138,392

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Solution

The third proportional to 4,170,616 and 9,138,392 is: 20,023,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170,616 : 9,138,392 = 9,138,392 : x
  2. Step 2: Convert to fraction form
    4,170,616/9,138,392 = 9,138,392/x
  3. Step 3: Cross multiply
    4,170,616x = 9,138,392 × 9,138,392
  4. Step 4: Simplify right side
    4,170,616x = 83,510,208,345,664
  5. Step 5: Solve for x
    x = 83,510,208,345,664/4,170,616
  6. Step 6: Final answer
    x = 20,023,470.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.