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Finding the Third Proportional to 33,741,166 and 69,874,910

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Solution

The third proportional to 33,741,166 and 69,874,910 is: 144,704,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741,166 : 69,874,910 = 69,874,910 : x
  2. Step 2: Convert to fraction form
    33,741,166/69,874,910 = 69,874,910/x
  3. Step 3: Cross multiply
    33,741,166x = 69,874,910 × 69,874,910
  4. Step 4: Simplify right side
    33,741,166x = 4,882,503,047,508,100
  5. Step 5: Solve for x
    x = 4,882,503,047,508,100/33,741,166
  6. Step 6: Final answer
    x = 144,704,633.13

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.