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Finding the Third Proportional to 33,019,546.22 and 70,034,741.44

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Solution

The third proportional to 33,019,546.22 and 70,034,741.44 is: 148,544,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,019,546.22 : 70,034,741.44 = 70,034,741.44 : x
  2. Step 2: Convert to fraction form
    33,019,546.22/70,034,741.44 = 70,034,741.44/x
  3. Step 3: Cross multiply
    33,019,546.22x = 70,034,741.44 × 70,034,741.44
  4. Step 4: Simplify right side
    33,019,546.22x = 4,904,865,008,217,480
  5. Step 5: Solve for x
    x = 4,904,865,008,217,480/33,019,546.22
  6. Step 6: Final answer
    x = 148,544,288.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.