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Finding the Third Proportional to 24,282,201,589.50 and 54,147,668,379

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Solution

The third proportional to 24,282,201,589.50 and 54,147,668,379 is: 120,745,640,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282,201,589.50 : 54,147,668,379 = 54,147,668,379 : x
  2. Step 2: Convert to fraction form
    24,282,201,589.50/54,147,668,379 = 54,147,668,379/x
  3. Step 3: Cross multiply
    24,282,201,589.50x = 54,147,668,379 × 54,147,668,379
  4. Step 4: Simplify right side
    24,282,201,589.50x = 2,931,969,990,882,156,347,392
  5. Step 5: Solve for x
    x = 2,931,969,990,882,156,347,392/24,282,201,589.50
  6. Step 6: Final answer
    x = 120,745,640,796.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.