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Finding the Third Proportional to 270,213,183 and 547,945,362

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Solution

The third proportional to 270,213,183 and 547,945,362 is: 1,111,137,940.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213,183 : 547,945,362 = 547,945,362 : x
  2. Step 2: Convert to fraction form
    270,213,183/547,945,362 = 547,945,362/x
  3. Step 3: Cross multiply
    270,213,183x = 547,945,362 × 547,945,362
  4. Step 4: Simplify right side
    270,213,183x = 300,244,119,737,311,040
  5. Step 5: Solve for x
    x = 300,244,119,737,311,040/270,213,183
  6. Step 6: Final answer
    x = 1,111,137,940.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.