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Finding the Third Proportional to 5,239,282 and 7,826,571

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Solution

The third proportional to 5,239,282 and 7,826,571 is: 11,691,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239,282 : 7,826,571 = 7,826,571 : x
  2. Step 2: Convert to fraction form
    5,239,282/7,826,571 = 7,826,571/x
  3. Step 3: Cross multiply
    5,239,282x = 7,826,571 × 7,826,571
  4. Step 4: Simplify right side
    5,239,282x = 61,255,213,618,041
  5. Step 5: Solve for x
    x = 61,255,213,618,041/5,239,282
  6. Step 6: Final answer
    x = 11,691,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.