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Finding the Third Proportional to 358,751,469,992 and 504,559,939,224

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Solution

The third proportional to 358,751,469,992 and 504,559,939,224 is: 709,629,795,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,751,469,992 : 504,559,939,224 = 504,559,939,224 : x
  2. Step 2: Convert to fraction form
    358,751,469,992/504,559,939,224 = 504,559,939,224/x
  3. Step 3: Cross multiply
    358,751,469,992x = 504,559,939,224 × 504,559,939,224
  4. Step 4: Simplify right side
    358,751,469,992x = 254,580,732,269,726,581,915,648
  5. Step 5: Solve for x
    x = 254,580,732,269,726,581,915,648/358,751,469,992
  6. Step 6: Final answer
    x = 709,629,795,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.