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Finding the Third Proportional to 12,311,586,934 and 24,965,758,164

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Solution

The third proportional to 12,311,586,934 and 24,965,758,164 is: 50,626,217,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311,586,934 : 24,965,758,164 = 24,965,758,164 : x
  2. Step 2: Convert to fraction form
    12,311,586,934/24,965,758,164 = 24,965,758,164/x
  3. Step 3: Cross multiply
    12,311,586,934x = 24,965,758,164 × 24,965,758,164
  4. Step 4: Simplify right side
    12,311,586,934x = 623,289,080,703,332,646,912
  5. Step 5: Solve for x
    x = 623,289,080,703,332,646,912/12,311,586,934
  6. Step 6: Final answer
    x = 50,626,217,728.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.