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Finding the Third Proportional to 552,100,760 and 1,181,757,400

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Solution

The third proportional to 552,100,760 and 1,181,757,400 is: 2,529,521,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,100,760 : 1,181,757,400 = 1,181,757,400 : x
  2. Step 2: Convert to fraction form
    552,100,760/1,181,757,400 = 1,181,757,400/x
  3. Step 3: Cross multiply
    552,100,760x = 1,181,757,400 × 1,181,757,400
  4. Step 4: Simplify right side
    552,100,760x = 1,396,550,552,454,759,936
  5. Step 5: Solve for x
    x = 1,396,550,552,454,759,936/552,100,760
  6. Step 6: Final answer
    x = 2,529,521,155.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.