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Finding the Third Proportional to 3,846,384 and 8,226,396

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Solution

The third proportional to 3,846,384 and 8,226,396 is: 17,594,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846,384 : 8,226,396 = 8,226,396 : x
  2. Step 2: Convert to fraction form
    3,846,384/8,226,396 = 8,226,396/x
  3. Step 3: Cross multiply
    3,846,384x = 8,226,396 × 8,226,396
  4. Step 4: Simplify right side
    3,846,384x = 67,673,591,148,816
  5. Step 5: Solve for x
    x = 67,673,591,148,816/3,846,384
  6. Step 6: Final answer
    x = 17,594,080.87

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