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Finding the Third Proportional to 20,363,816,424 and 43,839,857,900

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Solution

The third proportional to 20,363,816,424 and 43,839,857,900 is: 94,379,810,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,363,816,424 : 43,839,857,900 = 43,839,857,900 : x
  2. Step 2: Convert to fraction form
    20,363,816,424/43,839,857,900 = 43,839,857,900/x
  3. Step 3: Cross multiply
    20,363,816,424x = 43,839,857,900 × 43,839,857,900
  4. Step 4: Simplify right side
    20,363,816,424x = 1,921,933,140,692,192,460,800
  5. Step 5: Solve for x
    x = 1,921,933,140,692,192,460,800/20,363,816,424
  6. Step 6: Final answer
    x = 94,379,810,771.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.