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Finding the Third Proportional to 381,548,481 and 826,482,994.50

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Solution

The third proportional to 381,548,481 and 826,482,994.50 is: 1,790,268,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,548,481 : 826,482,994.50 = 826,482,994.50 : x
  2. Step 2: Convert to fraction form
    381,548,481/826,482,994.50 = 826,482,994.50/x
  3. Step 3: Cross multiply
    381,548,481x = 826,482,994.50 × 826,482,994.50
  4. Step 4: Simplify right side
    381,548,481x = 683,074,140,197,687,040
  5. Step 5: Solve for x
    x = 683,074,140,197,687,040/381,548,481
  6. Step 6: Final answer
    x = 1,790,268,273.14

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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.