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Finding the Third Proportional to 6,966,864 and 14,568,965.44

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Solution

The third proportional to 6,966,864 and 14,568,965.44 is: 30,466,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966,864 : 14,568,965.44 = 14,568,965.44 : x
  2. Step 2: Convert to fraction form
    6,966,864/14,568,965.44 = 14,568,965.44/x
  3. Step 3: Cross multiply
    6,966,864x = 14,568,965.44 × 14,568,965.44
  4. Step 4: Simplify right side
    6,966,864x = 212,254,753,919,069.56
  5. Step 5: Solve for x
    x = 212,254,753,919,069.56/6,966,864
  6. Step 6: Final answer
    x = 30,466,326.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.