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Finding the Third Proportional to 11,677,313,952 and 24,182,451,144

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Solution

The third proportional to 11,677,313,952 and 24,182,451,144 is: 50,079,234,465.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677,313,952 : 24,182,451,144 = 24,182,451,144 : x
  2. Step 2: Convert to fraction form
    11,677,313,952/24,182,451,144 = 24,182,451,144/x
  3. Step 3: Cross multiply
    11,677,313,952x = 24,182,451,144 × 24,182,451,144
  4. Step 4: Simplify right side
    11,677,313,952x = 584,790,943,331,946,921,984
  5. Step 5: Solve for x
    x = 584,790,943,331,946,921,984/11,677,313,952
  6. Step 6: Final answer
    x = 50,079,234,465.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.