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Finding the Third Proportional to 5,318,608.50 and 7,789,257

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Solution

The third proportional to 5,318,608.50 and 7,789,257 is: 11,407,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318,608.50 : 7,789,257 = 7,789,257 : x
  2. Step 2: Convert to fraction form
    5,318,608.50/7,789,257 = 7,789,257/x
  3. Step 3: Cross multiply
    5,318,608.50x = 7,789,257 × 7,789,257
  4. Step 4: Simplify right side
    5,318,608.50x = 60,672,524,612,049
  5. Step 5: Solve for x
    x = 60,672,524,612,049/5,318,608.50
  6. Step 6: Final answer
    x = 11,407,593.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.