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Finding the Third Proportional to 13,837,446,198 and 20,665,493,721

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Solution

The third proportional to 13,837,446,198 and 20,665,493,721 is: 30,862,821,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837,446,198 : 20,665,493,721 = 20,665,493,721 : x
  2. Step 2: Convert to fraction form
    13,837,446,198/20,665,493,721 = 20,665,493,721/x
  3. Step 3: Cross multiply
    13,837,446,198x = 20,665,493,721 × 20,665,493,721
  4. Step 4: Simplify right side
    13,837,446,198x = 427,062,630,732,690,423,808
  5. Step 5: Solve for x
    x = 427,062,630,732,690,423,808/13,837,446,198
  6. Step 6: Final answer
    x = 30,862,821,406.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.