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Finding the Third Proportional to 2,392,454,040,375 and 5,147,767,914,089.40

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Solution

The third proportional to 2,392,454,040,375 and 5,147,767,914,089.40 is: 11,076,289,889,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,454,040,375 : 5,147,767,914,089.40 = 5,147,767,914,089.40 : x
  2. Step 2: Convert to fraction form
    2,392,454,040,375/5,147,767,914,089.40 = 5,147,767,914,089.40/x
  3. Step 3: Cross multiply
    2,392,454,040,375x = 5,147,767,914,089.40 × 5,147,767,914,089.40
  4. Step 4: Simplify right side
    2,392,454,040,375x = 26,499,514,497,328,336,156,491,776
  5. Step 5: Solve for x
    x = 26,499,514,497,328,336,156,491,776/2,392,454,040,375
  6. Step 6: Final answer
    x = 11,076,289,889,010.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.