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Finding the Third Proportional to 12,187,819,722 and 24,718,333,188

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Solution

The third proportional to 12,187,819,722 and 24,718,333,188 is: 50,131,689,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187,819,722 : 24,718,333,188 = 24,718,333,188 : x
  2. Step 2: Convert to fraction form
    12,187,819,722/24,718,333,188 = 24,718,333,188/x
  3. Step 3: Cross multiply
    12,187,819,722x = 24,718,333,188 × 24,718,333,188
  4. Step 4: Simplify right side
    12,187,819,722x = 610,995,995,592,982,265,856
  5. Step 5: Solve for x
    x = 610,995,995,592,982,265,856/12,187,819,722
  6. Step 6: Final answer
    x = 50,131,689,631.91

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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.