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Finding the Third Proportional to 381,548,451 and 826,482,933

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Solution

The third proportional to 381,548,451 and 826,482,933 is: 1,790,268,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548,451 : 826,482,933 = 826,482,933 : x
  2. Step 2: Convert to fraction form
    381,548,451/826,482,933 = 826,482,933/x
  3. Step 3: Cross multiply
    381,548,451x = 826,482,933 × 826,482,933
  4. Step 4: Simplify right side
    381,548,451x = 683,074,038,540,282,496
  5. Step 5: Solve for x
    x = 683,074,038,540,282,496/381,548,451
  6. Step 6: Final answer
    x = 1,790,268,147.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.