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Finding the Third Proportional to 2,513,675 and 5,381,631

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Solution

The third proportional to 2,513,675 and 5,381,631 is: 11,521,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513,675 : 5,381,631 = 5,381,631 : x
  2. Step 2: Convert to fraction form
    2,513,675/5,381,631 = 5,381,631/x
  3. Step 3: Cross multiply
    2,513,675x = 5,381,631 × 5,381,631
  4. Step 4: Simplify right side
    2,513,675x = 28,961,952,220,161
  5. Step 5: Solve for x
    x = 28,961,952,220,161/2,513,675
  6. Step 6: Final answer
    x = 11,521,756.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.