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Finding the Third Proportional to 6,381,738 and 9,577,027

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Solution

The third proportional to 6,381,738 and 9,577,027 is: 14,372,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381,738 : 9,577,027 = 9,577,027 : x
  2. Step 2: Convert to fraction form
    6,381,738/9,577,027 = 9,577,027/x
  3. Step 3: Cross multiply
    6,381,738x = 9,577,027 × 9,577,027
  4. Step 4: Simplify right side
    6,381,738x = 91,719,446,158,729
  5. Step 5: Solve for x
    x = 91,719,446,158,729/6,381,738
  6. Step 6: Final answer
    x = 14,372,173.56

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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.