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Finding the Third Proportional to 6,269,832 and 9,380,430

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Solution

The third proportional to 6,269,832 and 9,380,430 is: 14,034,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269,832 : 9,380,430 = 9,380,430 : x
  2. Step 2: Convert to fraction form
    6,269,832/9,380,430 = 9,380,430/x
  3. Step 3: Cross multiply
    6,269,832x = 9,380,430 × 9,380,430
  4. Step 4: Simplify right side
    6,269,832x = 87,992,466,984,900
  5. Step 5: Solve for x
    x = 87,992,466,984,900/6,269,832
  6. Step 6: Final answer
    x = 14,034,262.32

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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.