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Finding the Third Proportional to 1,311,393,293 and 2,141,160,529

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Solution

The third proportional to 1,311,393,293 and 2,141,160,529 is: 3,495,952,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,393,293 : 2,141,160,529 = 2,141,160,529 : x
  2. Step 2: Convert to fraction form
    1,311,393,293/2,141,160,529 = 2,141,160,529/x
  3. Step 3: Cross multiply
    1,311,393,293x = 2,141,160,529 × 2,141,160,529
  4. Step 4: Simplify right side
    1,311,393,293x = 4,584,568,410,947,559,936
  5. Step 5: Solve for x
    x = 4,584,568,410,947,559,936/1,311,393,293
  6. Step 6: Final answer
    x = 3,495,952,309.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.