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Finding the Third Proportional to 3,288,665,346.75 and 7,760,916,390.09

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Solution

The third proportional to 3,288,665,346.75 and 7,760,916,390.09 is: 18,314,974,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288,665,346.75 : 7,760,916,390.09 = 7,760,916,390.09 : x
  2. Step 2: Convert to fraction form
    3,288,665,346.75/7,760,916,390.09 = 7,760,916,390.09/x
  3. Step 3: Cross multiply
    3,288,665,346.75x = 7,760,916,390.09 × 7,760,916,390.09
  4. Step 4: Simplify right side
    3,288,665,346.75x = 60,231,823,214,023,483,392
  5. Step 5: Solve for x
    x = 60,231,823,214,023,483,392/3,288,665,346.75
  6. Step 6: Final answer
    x = 18,314,974,879.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.