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Finding the Third Proportional to 8,174,249 and 19,268,993

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Solution

The third proportional to 8,174,249 and 19,268,993 is: 45,422,410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174,249 : 19,268,993 = 19,268,993 : x
  2. Step 2: Convert to fraction form
    8,174,249/19,268,993 = 19,268,993/x
  3. Step 3: Cross multiply
    8,174,249x = 19,268,993 × 19,268,993
  4. Step 4: Simplify right side
    8,174,249x = 371,294,091,234,049
  5. Step 5: Solve for x
    x = 371,294,091,234,049/8,174,249
  6. Step 6: Final answer
    x = 45,422,410.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.