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Finding the Third Proportional to 18,399,433,940 and 40,022,638,558

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Solution

The third proportional to 18,399,433,940 and 40,022,638,558 is: 87,057,656,358.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,399,433,940 : 40,022,638,558 = 40,022,638,558 : x
  2. Step 2: Convert to fraction form
    18,399,433,940/40,022,638,558 = 40,022,638,558/x
  3. Step 3: Cross multiply
    18,399,433,940x = 40,022,638,558 × 40,022,638,558
  4. Step 4: Simplify right side
    18,399,433,940x = 1,601,811,597,144,308,318,208
  5. Step 5: Solve for x
    x = 1,601,811,597,144,308,318,208/18,399,433,940
  6. Step 6: Final answer
    x = 87,057,656,358.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.