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Finding the Third Proportional to 33,863,619 and 74,196,793.50

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Solution

The third proportional to 33,863,619 and 74,196,793.50 is: 162,568,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863,619 : 74,196,793.50 = 74,196,793.50 : x
  2. Step 2: Convert to fraction form
    33,863,619/74,196,793.50 = 74,196,793.50/x
  3. Step 3: Cross multiply
    33,863,619x = 74,196,793.50 × 74,196,793.50
  4. Step 4: Simplify right side
    33,863,619x = 5,505,164,165,681,642
  5. Step 5: Solve for x
    x = 5,505,164,165,681,642/33,863,619
  6. Step 6: Final answer
    x = 162,568,689.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.