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Finding the Third Proportional to 8,174,193 and 19,268,850

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Solution

The third proportional to 8,174,193 and 19,268,850 is: 45,422,047.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174,193 : 19,268,850 = 19,268,850 : x
  2. Step 2: Convert to fraction form
    8,174,193/19,268,850 = 19,268,850/x
  3. Step 3: Cross multiply
    8,174,193x = 19,268,850 × 19,268,850
  4. Step 4: Simplify right side
    8,174,193x = 371,288,580,322,500
  5. Step 5: Solve for x
    x = 371,288,580,322,500/8,174,193
  6. Step 6: Final answer
    x = 45,422,047.21

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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.