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Finding the Third Proportional to 207,267,966 and 443,233,744

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Solution

The third proportional to 207,267,966 and 443,233,744 is: 947,836,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267,966 : 443,233,744 = 443,233,744 : x
  2. Step 2: Convert to fraction form
    207,267,966/443,233,744 = 443,233,744/x
  3. Step 3: Cross multiply
    207,267,966x = 443,233,744 × 443,233,744
  4. Step 4: Simplify right side
    207,267,966x = 196,456,151,820,257,536
  5. Step 5: Solve for x
    x = 196,456,151,820,257,536/207,267,966
  6. Step 6: Final answer
    x = 947,836,540.36

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Why These Related Problems?

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