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Finding the Third Proportional to 3,197,216 and 6,690,016

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Solution

The third proportional to 3,197,216 and 6,690,016 is: 13,998,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,216 : 6,690,016 = 6,690,016 : x
  2. Step 2: Convert to fraction form
    3,197,216/6,690,016 = 6,690,016/x
  3. Step 3: Cross multiply
    3,197,216x = 6,690,016 × 6,690,016
  4. Step 4: Simplify right side
    3,197,216x = 44,756,314,080,256
  5. Step 5: Solve for x
    x = 44,756,314,080,256/3,197,216
  6. Step 6: Final answer
    x = 13,998,526.87

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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.