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Finding the Third Proportional to 6,661,294 and 13,846,198

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Solution

The third proportional to 6,661,294 and 13,846,198 is: 28,780,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661,294 : 13,846,198 = 13,846,198 : x
  2. Step 2: Convert to fraction form
    6,661,294/13,846,198 = 13,846,198/x
  3. Step 3: Cross multiply
    6,661,294x = 13,846,198 × 13,846,198
  4. Step 4: Simplify right side
    6,661,294x = 191,717,199,055,204
  5. Step 5: Solve for x
    x = 191,717,199,055,204/6,661,294
  6. Step 6: Final answer
    x = 28,780,774.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.