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Finding the Third Proportional to 42,560,108,375 and 93,795,322,299

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Solution

The third proportional to 42,560,108,375 and 93,795,322,299 is: 206,709,118,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,560,108,375 : 93,795,322,299 = 93,795,322,299 : x
  2. Step 2: Convert to fraction form
    42,560,108,375/93,795,322,299 = 93,795,322,299/x
  3. Step 3: Cross multiply
    42,560,108,375x = 93,795,322,299 × 93,795,322,299
  4. Step 4: Simplify right side
    42,560,108,375x = 8,797,562,485,173,286,600,704
  5. Step 5: Solve for x
    x = 8,797,562,485,173,286,600,704/42,560,108,375
  6. Step 6: Final answer
    x = 206,709,118,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.