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Finding the Third Proportional to 683,502,093.25 and 1,491,193,771.25

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Solution

The third proportional to 683,502,093.25 and 1,491,193,771.25 is: 3,253,331,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,502,093.25 : 1,491,193,771.25 = 1,491,193,771.25 : x
  2. Step 2: Convert to fraction form
    683,502,093.25/1,491,193,771.25 = 1,491,193,771.25/x
  3. Step 3: Cross multiply
    683,502,093.25x = 1,491,193,771.25 × 1,491,193,771.25
  4. Step 4: Simplify right side
    683,502,093.25x = 2,223,658,863,414,797,312
  5. Step 5: Solve for x
    x = 2,223,658,863,414,797,312/683,502,093.25
  6. Step 6: Final answer
    x = 3,253,331,460.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.