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Finding the Third Proportional to 6,766,578 and 10,364,193

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Solution

The third proportional to 6,766,578 and 10,364,193 is: 15,874,567.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,578 : 10,364,193 = 10,364,193 : x
  2. Step 2: Convert to fraction form
    6,766,578/10,364,193 = 10,364,193/x
  3. Step 3: Cross multiply
    6,766,578x = 10,364,193 × 10,364,193
  4. Step 4: Simplify right side
    6,766,578x = 107,416,496,541,249
  5. Step 5: Solve for x
    x = 107,416,496,541,249/6,766,578
  6. Step 6: Final answer
    x = 15,874,567.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.