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Finding the Third Proportional to 33,863,616.75 and 74,196,789.38

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Solution

The third proportional to 33,863,616.75 and 74,196,789.38 is: 162,568,682.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863,616.75 : 74,196,789.38 = 74,196,789.38 : x
  2. Step 2: Convert to fraction form
    33,863,616.75/74,196,789.38 = 74,196,789.38/x
  3. Step 3: Cross multiply
    33,863,616.75x = 74,196,789.38 × 74,196,789.38
  4. Step 4: Simplify right side
    33,863,616.75x = 5,505,163,553,558,113
  5. Step 5: Solve for x
    x = 5,505,163,553,558,113/33,863,616.75
  6. Step 6: Final answer
    x = 162,568,682.32

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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.