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Finding the Third Proportional to 6,194,067 and 13,337,214

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Solution

The third proportional to 6,194,067 and 13,337,214 is: 28,718,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194,067 : 13,337,214 = 13,337,214 : x
  2. Step 2: Convert to fraction form
    6,194,067/13,337,214 = 13,337,214/x
  3. Step 3: Cross multiply
    6,194,067x = 13,337,214 × 13,337,214
  4. Step 4: Simplify right side
    6,194,067x = 177,881,277,281,796
  5. Step 5: Solve for x
    x = 177,881,277,281,796/6,194,067
  6. Step 6: Final answer
    x = 28,718,009.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.