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Finding the Third Proportional to 4,250,505,096 and 6,667,184,145

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Solution

The third proportional to 4,250,505,096 and 6,667,184,145 is: 10,457,896,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,250,505,096 : 6,667,184,145 = 6,667,184,145 : x
  2. Step 2: Convert to fraction form
    4,250,505,096/6,667,184,145 = 6,667,184,145/x
  3. Step 3: Cross multiply
    4,250,505,096x = 6,667,184,145 × 6,667,184,145
  4. Step 4: Simplify right side
    4,250,505,096x = 44,451,344,423,339,384,832
  5. Step 5: Solve for x
    x = 44,451,344,423,339,384,832/4,250,505,096
  6. Step 6: Final answer
    x = 10,457,896,983.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.