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Finding the Third Proportional to 4,000,671 and 8,641,017

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Solution

The third proportional to 4,000,671 and 8,641,017 is: 18,663,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,671 : 8,641,017 = 8,641,017 : x
  2. Step 2: Convert to fraction form
    4,000,671/8,641,017 = 8,641,017/x
  3. Step 3: Cross multiply
    4,000,671x = 8,641,017 × 8,641,017
  4. Step 4: Simplify right side
    4,000,671x = 74,667,174,794,289
  5. Step 5: Solve for x
    x = 74,667,174,794,289/4,000,671
  6. Step 6: Final answer
    x = 18,663,662.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.