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Finding the Third Proportional to 305,052,810 and 667,146,954

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Solution

The third proportional to 305,052,810 and 667,146,954 is: 1,459,042,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052,810 : 667,146,954 = 667,146,954 : x
  2. Step 2: Convert to fraction form
    305,052,810/667,146,954 = 667,146,954/x
  3. Step 3: Cross multiply
    305,052,810x = 667,146,954 × 667,146,954
  4. Step 4: Simplify right side
    305,052,810x = 445,085,058,231,478,144
  5. Step 5: Solve for x
    x = 445,085,058,231,478,144/305,052,810
  6. Step 6: Final answer
    x = 1,459,042,643.24

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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.