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Finding the Third Proportional to 533,921,908 and 826,286,622

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Solution

The third proportional to 533,921,908 and 826,286,622 is: 1,278,744,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,921,908 : 826,286,622 = 826,286,622 : x
  2. Step 2: Convert to fraction form
    533,921,908/826,286,622 = 826,286,622/x
  3. Step 3: Cross multiply
    533,921,908x = 826,286,622 × 826,286,622
  4. Step 4: Simplify right side
    533,921,908x = 682,749,581,696,170,880
  5. Step 5: Solve for x
    x = 682,749,581,696,170,880/533,921,908
  6. Step 6: Final answer
    x = 1,278,744,272.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.