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Finding the Third Proportional to 3,983,914 and 8,643,368

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Solution

The third proportional to 3,983,914 and 8,643,368 is: 18,752,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983,914 : 8,643,368 = 8,643,368 : x
  2. Step 2: Convert to fraction form
    3,983,914/8,643,368 = 8,643,368/x
  3. Step 3: Cross multiply
    3,983,914x = 8,643,368 × 8,643,368
  4. Step 4: Simplify right side
    3,983,914x = 74,707,810,383,424
  5. Step 5: Solve for x
    x = 74,707,810,383,424/3,983,914
  6. Step 6: Final answer
    x = 18,752,365.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.