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Finding the Third Proportional to 29,913,067 and 65,067,193

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Solution

The third proportional to 29,913,067 and 65,067,193 is: 141,534,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,913,067 : 65,067,193 = 65,067,193 : x
  2. Step 2: Convert to fraction form
    29,913,067/65,067,193 = 65,067,193/x
  3. Step 3: Cross multiply
    29,913,067x = 65,067,193 × 65,067,193
  4. Step 4: Simplify right side
    29,913,067x = 4,233,739,604,899,249
  5. Step 5: Solve for x
    x = 4,233,739,604,899,249/29,913,067
  6. Step 6: Final answer
    x = 141,534,788.29

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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.