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Finding the Third Proportional to 6,028,380 and 8,432,253

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Solution

The third proportional to 6,028,380 and 8,432,253 is: 11,794,692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028,380 : 8,432,253 = 8,432,253 : x
  2. Step 2: Convert to fraction form
    6,028,380/8,432,253 = 8,432,253/x
  3. Step 3: Cross multiply
    6,028,380x = 8,432,253 × 8,432,253
  4. Step 4: Simplify right side
    6,028,380x = 71,102,890,656,009
  5. Step 5: Solve for x
    x = 71,102,890,656,009/6,028,380
  6. Step 6: Final answer
    x = 11,794,692.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.