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Finding the Third Proportional to 11,842,384 and 15,743,736

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Solution

The third proportional to 11,842,384 and 15,743,736 is: 20,930,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842,384 : 15,743,736 = 15,743,736 : x
  2. Step 2: Convert to fraction form
    11,842,384/15,743,736 = 15,743,736/x
  3. Step 3: Cross multiply
    11,842,384x = 15,743,736 × 15,743,736
  4. Step 4: Simplify right side
    11,842,384x = 247,865,223,237,696
  5. Step 5: Solve for x
    x = 247,865,223,237,696/11,842,384
  6. Step 6: Final answer
    x = 20,930,348.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.