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Finding the Third Proportional to 533,921,904 and 826,286,616

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Solution

The third proportional to 533,921,904 and 826,286,616 is: 1,278,744,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,921,904 : 826,286,616 = 826,286,616 : x
  2. Step 2: Convert to fraction form
    533,921,904/826,286,616 = 826,286,616/x
  3. Step 3: Cross multiply
    533,921,904x = 826,286,616 × 826,286,616
  4. Step 4: Simplify right side
    533,921,904x = 682,749,571,780,731,392
  5. Step 5: Solve for x
    x = 682,749,571,780,731,392/533,921,904
  6. Step 6: Final answer
    x = 1,278,744,263.28

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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.