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Finding the Third Proportional to 6,917,766 and 15,138,711

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Solution

The third proportional to 6,917,766 and 15,138,711 is: 33,129,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917,766 : 15,138,711 = 15,138,711 : x
  2. Step 2: Convert to fraction form
    6,917,766/15,138,711 = 15,138,711/x
  3. Step 3: Cross multiply
    6,917,766x = 15,138,711 × 15,138,711
  4. Step 4: Simplify right side
    6,917,766x = 229,180,570,741,521
  5. Step 5: Solve for x
    x = 229,180,570,741,521/6,917,766
  6. Step 6: Final answer
    x = 33,129,274.79

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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.