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Finding the Third Proportional to 517,000,375,467 and 1,131,392,288,844

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Solution

The third proportional to 517,000,375,467 and 1,131,392,288,844 is: 2,475,914,084,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,000,375,467 : 1,131,392,288,844 = 1,131,392,288,844 : x
  2. Step 2: Convert to fraction form
    517,000,375,467/1,131,392,288,844 = 1,131,392,288,844/x
  3. Step 3: Cross multiply
    517,000,375,467x = 1,131,392,288,844 × 1,131,392,288,844
  4. Step 4: Simplify right side
    517,000,375,467x = 1,280,048,511,255,665,260,363,776
  5. Step 5: Solve for x
    x = 1,280,048,511,255,665,260,363,776/517,000,375,467
  6. Step 6: Final answer
    x = 2,475,914,084,393.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.