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Finding the Third Proportional to 2,667,421 and 6,294,716

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Solution

The third proportional to 2,667,421 and 6,294,716 is: 14,854,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,421 : 6,294,716 = 6,294,716 : x
  2. Step 2: Convert to fraction form
    2,667,421/6,294,716 = 6,294,716/x
  3. Step 3: Cross multiply
    2,667,421x = 6,294,716 × 6,294,716
  4. Step 4: Simplify right side
    2,667,421x = 39,623,449,520,656
  5. Step 5: Solve for x
    x = 39,623,449,520,656/2,667,421
  6. Step 6: Final answer
    x = 14,854,591.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.