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Finding the Third Proportional to 8,325,463,453.50 and 17,977,861,394.50

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Solution

The third proportional to 8,325,463,453.50 and 17,977,861,394.50 is: 38,821,082,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325,463,453.50 : 17,977,861,394.50 = 17,977,861,394.50 : x
  2. Step 2: Convert to fraction form
    8,325,463,453.50/17,977,861,394.50 = 17,977,861,394.50/x
  3. Step 3: Cross multiply
    8,325,463,453.50x = 17,977,861,394.50 × 17,977,861,394.50
  4. Step 4: Simplify right side
    8,325,463,453.50x = 323,203,500,319,853,510,656
  5. Step 5: Solve for x
    x = 323,203,500,319,853,510,656/8,325,463,453.50
  6. Step 6: Final answer
    x = 38,821,082,108.53

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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.