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Finding the Third Proportional to 14,206,847 and 20,778,828

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Solution

The third proportional to 14,206,847 and 20,778,828 is: 30,390,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206,847 : 20,778,828 = 20,778,828 : x
  2. Step 2: Convert to fraction form
    14,206,847/20,778,828 = 20,778,828/x
  3. Step 3: Cross multiply
    14,206,847x = 20,778,828 × 20,778,828
  4. Step 4: Simplify right side
    14,206,847x = 431,759,693,053,584
  5. Step 5: Solve for x
    x = 431,759,693,053,584/14,206,847
  6. Step 6: Final answer
    x = 30,390,958.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.