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Finding the Third Proportional to 10,769,380,423.50 and 16,543,086,906

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Solution

The third proportional to 10,769,380,423.50 and 16,543,086,906 is: 25,412,206,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769,380,423.50 : 16,543,086,906 = 16,543,086,906 : x
  2. Step 2: Convert to fraction form
    10,769,380,423.50/16,543,086,906 = 16,543,086,906/x
  3. Step 3: Cross multiply
    10,769,380,423.50x = 16,543,086,906 × 16,543,086,906
  4. Step 4: Simplify right side
    10,769,380,423.50x = 273,673,724,379,468,660,736
  5. Step 5: Solve for x
    x = 273,673,724,379,468,660,736/10,769,380,423.50
  6. Step 6: Final answer
    x = 25,412,206,981.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.