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Finding the Third Proportional to 305,052,771 and 667,146,873

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Solution

The third proportional to 305,052,771 and 667,146,873 is: 1,459,042,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052,771 : 667,146,873 = 667,146,873 : x
  2. Step 2: Convert to fraction form
    305,052,771/667,146,873 = 667,146,873/x
  3. Step 3: Cross multiply
    305,052,771x = 667,146,873 × 667,146,873
  4. Step 4: Simplify right side
    305,052,771x = 445,084,950,153,678,144
  5. Step 5: Solve for x
    x = 445,084,950,153,678,144/305,052,771
  6. Step 6: Final answer
    x = 1,459,042,475.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.