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Finding the Third Proportional to 8,325,463,456 and 17,977,861,399

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Solution

The third proportional to 8,325,463,456 and 17,977,861,399 is: 38,821,082,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325,463,456 : 17,977,861,399 = 17,977,861,399 : x
  2. Step 2: Convert to fraction form
    8,325,463,456/17,977,861,399 = 17,977,861,399/x
  3. Step 3: Cross multiply
    8,325,463,456x = 17,977,861,399 × 17,977,861,399
  4. Step 4: Simplify right side
    8,325,463,456x = 323,203,500,481,654,226,944
  5. Step 5: Solve for x
    x = 323,203,500,481,654,226,944/8,325,463,456
  6. Step 6: Final answer
    x = 38,821,082,116.30

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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.