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Finding the Third Proportional to 5,410,529 and 8,098,729

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Solution

The third proportional to 5,410,529 and 8,098,729 is: 12,122,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410,529 : 8,098,729 = 8,098,729 : x
  2. Step 2: Convert to fraction form
    5,410,529/8,098,729 = 8,098,729/x
  3. Step 3: Cross multiply
    5,410,529x = 8,098,729 × 8,098,729
  4. Step 4: Simplify right side
    5,410,529x = 65,589,411,415,441
  5. Step 5: Solve for x
    x = 65,589,411,415,441/5,410,529
  6. Step 6: Final answer
    x = 12,122,550.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.