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Finding the Third Proportional to 7,581,530 and 11,647,371

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Solution

The third proportional to 7,581,530 and 11,647,371 is: 17,893,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581,530 : 11,647,371 = 11,647,371 : x
  2. Step 2: Convert to fraction form
    7,581,530/11,647,371 = 11,647,371/x
  3. Step 3: Cross multiply
    7,581,530x = 11,647,371 × 11,647,371
  4. Step 4: Simplify right side
    7,581,530x = 135,661,251,211,641
  5. Step 5: Solve for x
    x = 135,661,251,211,641/7,581,530
  6. Step 6: Final answer
    x = 17,893,650.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.