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Finding the Third Proportional to 517,000,375,423.50 and 1,131,392,288,736

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Solution

The third proportional to 517,000,375,423.50 and 1,131,392,288,736 is: 2,475,914,084,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,000,375,423.50 : 1,131,392,288,736 = 1,131,392,288,736 : x
  2. Step 2: Convert to fraction form
    517,000,375,423.50/1,131,392,288,736 = 1,131,392,288,736/x
  3. Step 3: Cross multiply
    517,000,375,423.50x = 1,131,392,288,736 × 1,131,392,288,736
  4. Step 4: Simplify right side
    517,000,375,423.50x = 1,280,048,511,011,284,305,575,936
  5. Step 5: Solve for x
    x = 1,280,048,511,011,284,305,575,936/517,000,375,423.50
  6. Step 6: Final answer
    x = 2,475,914,084,129.50

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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.