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Finding the Third Proportional to 358,751,469,990 and 504,559,939,221

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Solution

The third proportional to 358,751,469,990 and 504,559,939,221 is: 709,629,795,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,751,469,990 : 504,559,939,221 = 504,559,939,221 : x
  2. Step 2: Convert to fraction form
    358,751,469,990/504,559,939,221 = 504,559,939,221/x
  3. Step 3: Cross multiply
    358,751,469,990x = 504,559,939,221 × 504,559,939,221
  4. Step 4: Simplify right side
    358,751,469,990x = 254,580,732,266,699,200,397,312
  5. Step 5: Solve for x
    x = 254,580,732,266,699,200,397,312/358,751,469,990
  6. Step 6: Final answer
    x = 709,629,795,450.86

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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.