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Finding the Third Proportional to 6,217,040 and 13,378,856

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Solution

The third proportional to 6,217,040 and 13,378,856 is: 28,790,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217,040 : 13,378,856 = 13,378,856 : x
  2. Step 2: Convert to fraction form
    6,217,040/13,378,856 = 13,378,856/x
  3. Step 3: Cross multiply
    6,217,040x = 13,378,856 × 13,378,856
  4. Step 4: Simplify right side
    6,217,040x = 178,993,787,868,736
  5. Step 5: Solve for x
    x = 178,993,787,868,736/6,217,040
  6. Step 6: Final answer
    x = 28,790,837.42

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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.