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Finding the Third Proportional to 35,568,805.23 and 82,336,665.62

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Solution

The third proportional to 35,568,805.23 and 82,336,665.62 is: 190,597,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568,805.23 : 82,336,665.62 = 82,336,665.62 : x
  2. Step 2: Convert to fraction form
    35,568,805.23/82,336,665.62 = 82,336,665.62/x
  3. Step 3: Cross multiply
    35,568,805.23x = 82,336,665.62 × 82,336,665.62
  4. Step 4: Simplify right side
    35,568,805.23x = 6,779,326,505,237,067
  5. Step 5: Solve for x
    x = 6,779,326,505,237,067/35,568,805.23
  6. Step 6: Final answer
    x = 190,597,532.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.