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Finding the Third Proportional to 3,155,265.75 and 6,781,857

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Solution

The third proportional to 3,155,265.75 and 6,781,857 is: 14,576,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155,265.75 : 6,781,857 = 6,781,857 : x
  2. Step 2: Convert to fraction form
    3,155,265.75/6,781,857 = 6,781,857/x
  3. Step 3: Cross multiply
    3,155,265.75x = 6,781,857 × 6,781,857
  4. Step 4: Simplify right side
    3,155,265.75x = 45,993,584,368,449
  5. Step 5: Solve for x
    x = 45,993,584,368,449/3,155,265.75
  6. Step 6: Final answer
    x = 14,576,770.39

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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.