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Finding the Third Proportional to 6,269,832 and 9,380,448

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Solution

The third proportional to 6,269,832 and 9,380,448 is: 14,034,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,832 : 9,380,448 = 9,380,448 : x
  2. Step 2: Convert to fraction form
    6,269,832/9,380,448 = 9,380,448/x
  3. Step 3: Cross multiply
    6,269,832x = 9,380,448 × 9,380,448
  4. Step 4: Simplify right side
    6,269,832x = 87,992,804,680,704
  5. Step 5: Solve for x
    x = 87,992,804,680,704/6,269,832
  6. Step 6: Final answer
    x = 14,034,316.18

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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.