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Finding the Third Proportional to 6,396,761 and 15,100,511

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Solution

The third proportional to 6,396,761 and 15,100,511 is: 35,647,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396,761 : 15,100,511 = 15,100,511 : x
  2. Step 2: Convert to fraction form
    6,396,761/15,100,511 = 15,100,511/x
  3. Step 3: Cross multiply
    6,396,761x = 15,100,511 × 15,100,511
  4. Step 4: Simplify right side
    6,396,761x = 228,025,432,461,121
  5. Step 5: Solve for x
    x = 228,025,432,461,121/6,396,761
  6. Step 6: Final answer
    x = 35,647,014.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.