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Finding the Third Proportional to 3,824,293 and 8,214,632

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Solution

The third proportional to 3,824,293 and 8,214,632 is: 17,645,138.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,293 : 8,214,632 = 8,214,632 : x
  2. Step 2: Convert to fraction form
    3,824,293/8,214,632 = 8,214,632/x
  3. Step 3: Cross multiply
    3,824,293x = 8,214,632 × 8,214,632
  4. Step 4: Simplify right side
    3,824,293x = 67,480,178,895,424
  5. Step 5: Solve for x
    x = 67,480,178,895,424/3,824,293
  6. Step 6: Final answer
    x = 17,645,138.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.