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Finding the Third Proportional to 3,194,781 and 6,949,326

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Solution

The third proportional to 3,194,781 and 6,949,326 is: 15,116,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,781 : 6,949,326 = 6,949,326 : x
  2. Step 2: Convert to fraction form
    3,194,781/6,949,326 = 6,949,326/x
  3. Step 3: Cross multiply
    3,194,781x = 6,949,326 × 6,949,326
  4. Step 4: Simplify right side
    3,194,781x = 48,293,131,854,276
  5. Step 5: Solve for x
    x = 48,293,131,854,276/3,194,781
  6. Step 6: Final answer
    x = 15,116,257.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.