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Finding the Third Proportional to 51,309,314 and 106,864,324

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Solution

The third proportional to 51,309,314 and 106,864,324 is: 222,571,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309,314 : 106,864,324 = 106,864,324 : x
  2. Step 2: Convert to fraction form
    51,309,314/106,864,324 = 106,864,324/x
  3. Step 3: Cross multiply
    51,309,314x = 106,864,324 × 106,864,324
  4. Step 4: Simplify right side
    51,309,314x = 11,419,983,743,976,976
  5. Step 5: Solve for x
    x = 11,419,983,743,976,976/51,309,314
  6. Step 6: Final answer
    x = 222,571,358.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.