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Finding the Third Proportional to 450,268,405,873.50 and 685,952,770,553.25

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Solution

The third proportional to 450,268,405,873.50 and 685,952,770,553.25 is: 1,045,001,597,473.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,268,405,873.50 : 685,952,770,553.25 = 685,952,770,553.25 : x
  2. Step 2: Convert to fraction form
    450,268,405,873.50/685,952,770,553.25 = 685,952,770,553.25/x
  3. Step 3: Cross multiply
    450,268,405,873.50x = 685,952,770,553.25 × 685,952,770,553.25
  4. Step 4: Simplify right side
    450,268,405,873.50x = 470,531,203,429,679,608,365,056
  5. Step 5: Solve for x
    x = 470,531,203,429,679,608,365,056/450,268,405,873.50
  6. Step 6: Final answer
    x = 1,045,001,597,473.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.