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Finding the Third Proportional to 533,921,916 and 826,286,634

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Solution

The third proportional to 533,921,916 and 826,286,634 is: 1,278,744,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,921,916 : 826,286,634 = 826,286,634 : x
  2. Step 2: Convert to fraction form
    533,921,916/826,286,634 = 826,286,634/x
  3. Step 3: Cross multiply
    533,921,916x = 826,286,634 × 826,286,634
  4. Step 4: Simplify right side
    533,921,916x = 682,749,601,527,049,984
  5. Step 5: Solve for x
    x = 682,749,601,527,049,984/533,921,916
  6. Step 6: Final answer
    x = 1,278,744,290.26

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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.