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Finding the Third Proportional to 8,325,463,453 and 17,977,861,393.25

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Solution

The third proportional to 8,325,463,453 and 17,977,861,393.25 is: 38,821,082,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325,463,453 : 17,977,861,393.25 = 17,977,861,393.25 : x
  2. Step 2: Convert to fraction form
    8,325,463,453/17,977,861,393.25 = 17,977,861,393.25/x
  3. Step 3: Cross multiply
    8,325,463,453x = 17,977,861,393.25 × 17,977,861,393.25
  4. Step 4: Simplify right side
    8,325,463,453x = 323,203,500,274,908,856,320
  5. Step 5: Solve for x
    x = 323,203,500,274,908,856,320/8,325,463,453
  6. Step 6: Final answer
    x = 38,821,082,105.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.