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Finding the Third Proportional to 40,633,682 and 86,778,100

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Solution

The third proportional to 40,633,682 and 86,778,100 is: 185,325,037.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,633,682 : 86,778,100 = 86,778,100 : x
  2. Step 2: Convert to fraction form
    40,633,682/86,778,100 = 86,778,100/x
  3. Step 3: Cross multiply
    40,633,682x = 86,778,100 × 86,778,100
  4. Step 4: Simplify right side
    40,633,682x = 7,530,438,639,610,000
  5. Step 5: Solve for x
    x = 7,530,438,639,610,000/40,633,682
  6. Step 6: Final answer
    x = 185,325,037.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.