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Finding the Third Proportional to 3,838,419 and 8,271,693

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Solution

The third proportional to 3,838,419 and 8,271,693 is: 17,825,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,419 : 8,271,693 = 8,271,693 : x
  2. Step 2: Convert to fraction form
    3,838,419/8,271,693 = 8,271,693/x
  3. Step 3: Cross multiply
    3,838,419x = 8,271,693 × 8,271,693
  4. Step 4: Simplify right side
    3,838,419x = 68,420,905,086,249
  5. Step 5: Solve for x
    x = 68,420,905,086,249/3,838,419
  6. Step 6: Final answer
    x = 17,825,283.04

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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.