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Finding the Third Proportional to 72,727,158,589.50 and 169,923,458,244

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Solution

The third proportional to 72,727,158,589.50 and 169,923,458,244 is: 397,017,870,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,727,158,589.50 : 169,923,458,244 = 169,923,458,244 : x
  2. Step 2: Convert to fraction form
    72,727,158,589.50/169,923,458,244 = 169,923,458,244/x
  3. Step 3: Cross multiply
    72,727,158,589.50x = 169,923,458,244 × 169,923,458,244
  4. Step 4: Simplify right side
    72,727,158,589.50x = 28,873,981,661,600,412,598,272
  5. Step 5: Solve for x
    x = 28,873,981,661,600,412,598,272/72,727,158,589.50
  6. Step 6: Final answer
    x = 397,017,870,924.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.