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Finding the Third Proportional to 33,028,100 and 69,067,696

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Solution

The third proportional to 33,028,100 and 69,067,696 is: 144,432,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028,100 : 69,067,696 = 69,067,696 : x
  2. Step 2: Convert to fraction form
    33,028,100/69,067,696 = 69,067,696/x
  3. Step 3: Cross multiply
    33,028,100x = 69,067,696 × 69,067,696
  4. Step 4: Simplify right side
    33,028,100x = 4,770,346,630,748,416
  5. Step 5: Solve for x
    x = 4,770,346,630,748,416/33,028,100
  6. Step 6: Final answer
    x = 144,432,971.64

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.