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Finding the Third Proportional to 8,185,869 and 17,823,993

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Solution

The third proportional to 8,185,869 and 17,823,993 is: 38,810,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,869 : 17,823,993 = 17,823,993 : x
  2. Step 2: Convert to fraction form
    8,185,869/17,823,993 = 17,823,993/x
  3. Step 3: Cross multiply
    8,185,869x = 17,823,993 × 17,823,993
  4. Step 4: Simplify right side
    8,185,869x = 317,694,726,464,049
  5. Step 5: Solve for x
    x = 317,694,726,464,049/8,185,869
  6. Step 6: Final answer
    x = 38,810,140.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.