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Finding the Third Proportional to 811,372,538 and 1,212,282,536

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Solution

The third proportional to 811,372,538 and 1,212,282,536 is: 1,811,287,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,372,538 : 1,212,282,536 = 1,212,282,536 : x
  2. Step 2: Convert to fraction form
    811,372,538/1,212,282,536 = 1,212,282,536/x
  3. Step 3: Cross multiply
    811,372,538x = 1,212,282,536 × 1,212,282,536
  4. Step 4: Simplify right side
    811,372,538x = 1,469,628,947,090,591,232
  5. Step 5: Solve for x
    x = 1,469,628,947,090,591,232/811,372,538
  6. Step 6: Final answer
    x = 1,811,287,513.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.