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Finding the Third Proportional to 242,278,050 and 533,002,524

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Solution

The third proportional to 242,278,050 and 533,002,524 is: 1,172,585,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,278,050 : 533,002,524 = 533,002,524 : x
  2. Step 2: Convert to fraction form
    242,278,050/533,002,524 = 533,002,524/x
  3. Step 3: Cross multiply
    242,278,050x = 533,002,524 × 533,002,524
  4. Step 4: Simplify right side
    242,278,050x = 284,091,690,590,370,560
  5. Step 5: Solve for x
    x = 284,091,690,590,370,560/242,278,050
  6. Step 6: Final answer
    x = 1,172,585,343.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.