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Finding the Third Proportional to 2,392,454,040,377 and 5,147,767,914,094

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Solution

The third proportional to 2,392,454,040,377 and 5,147,767,914,094 is: 11,076,289,889,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392,454,040,377 : 5,147,767,914,094 = 5,147,767,914,094 : x
  2. Step 2: Convert to fraction form
    2,392,454,040,377/5,147,767,914,094 = 5,147,767,914,094/x
  3. Step 3: Cross multiply
    2,392,454,040,377x = 5,147,767,914,094 × 5,147,767,914,094
  4. Step 4: Simplify right side
    2,392,454,040,377x = 26,499,514,497,375,692,465,897,472
  5. Step 5: Solve for x
    x = 26,499,514,497,375,692,465,897,472/2,392,454,040,377
  6. Step 6: Final answer
    x = 11,076,289,889,021.20

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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.