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Finding the Third Proportional to 4,761,974 and 9,995,660

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Solution

The third proportional to 4,761,974 and 9,995,660 is: 20,981,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761,974 : 9,995,660 = 9,995,660 : x
  2. Step 2: Convert to fraction form
    4,761,974/9,995,660 = 9,995,660/x
  3. Step 3: Cross multiply
    4,761,974x = 9,995,660 × 9,995,660
  4. Step 4: Simplify right side
    4,761,974x = 99,913,218,835,600
  5. Step 5: Solve for x
    x = 99,913,218,835,600/4,761,974
  6. Step 6: Final answer
    x = 20,981,470.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.