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Finding the Third Proportional to 40,804,929 and 86,215,193

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Solution

The third proportional to 40,804,929 and 86,215,193 is: 182,160,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,804,929 : 86,215,193 = 86,215,193 : x
  2. Step 2: Convert to fraction form
    40,804,929/86,215,193 = 86,215,193/x
  3. Step 3: Cross multiply
    40,804,929x = 86,215,193 × 86,215,193
  4. Step 4: Simplify right side
    40,804,929x = 7,433,059,504,027,249
  5. Step 5: Solve for x
    x = 7,433,059,504,027,249/40,804,929
  6. Step 6: Final answer
    x = 182,160,824.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.