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Finding the Third Proportional to 199,775,568,380.07 and 471,434,587,016.64

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Solution

The third proportional to 199,775,568,380.07 and 471,434,587,016.64 is: 1,112,501,251,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,775,568,380.07 : 471,434,587,016.64 = 471,434,587,016.64 : x
  2. Step 2: Convert to fraction form
    199,775,568,380.07/471,434,587,016.64 = 471,434,587,016.64/x
  3. Step 3: Cross multiply
    199,775,568,380.07x = 471,434,587,016.64 × 471,434,587,016.64
  4. Step 4: Simplify right side
    199,775,568,380.07x = 222,250,569,835,549,923,737,600
  5. Step 5: Solve for x
    x = 222,250,569,835,549,923,737,600/199,775,568,380.07
  6. Step 6: Final answer
    x = 1,112,501,251,467.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.