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Finding the Third Proportional to 3,838,384.13 and 8,271,632.25

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Solution

The third proportional to 3,838,384.13 and 8,271,632.25 is: 17,825,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,384.13 : 8,271,632.25 = 8,271,632.25 : x
  2. Step 2: Convert to fraction form
    3,838,384.13/8,271,632.25 = 8,271,632.25/x
  3. Step 3: Cross multiply
    3,838,384.13x = 8,271,632.25 × 8,271,632.25
  4. Step 4: Simplify right side
    3,838,384.13x = 68,419,900,079,240.06
  5. Step 5: Solve for x
    x = 68,419,900,079,240.06/3,838,384.13
  6. Step 6: Final answer
    x = 17,825,183.16

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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.