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Finding the Third Proportional to 214,804,947,450 and 336,965,573,227

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Solution

The third proportional to 214,804,947,450 and 336,965,573,227 is: 528,599,545,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,804,947,450 : 336,965,573,227 = 336,965,573,227 : x
  2. Step 2: Convert to fraction form
    214,804,947,450/336,965,573,227 = 336,965,573,227/x
  3. Step 3: Cross multiply
    214,804,947,450x = 336,965,573,227 × 336,965,573,227
  4. Step 4: Simplify right side
    214,804,947,450x = 113,545,797,540,200,694,415,360
  5. Step 5: Solve for x
    x = 113,545,797,540,200,694,415,360/214,804,947,450
  6. Step 6: Final answer
    x = 528,599,545,253.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.