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Finding the Third Proportional to 3,149,189,523.75 and 6,765,728,918.25

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Solution

The third proportional to 3,149,189,523.75 and 6,765,728,918.25 is: 14,535,513,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149,189,523.75 : 6,765,728,918.25 = 6,765,728,918.25 : x
  2. Step 2: Convert to fraction form
    3,149,189,523.75/6,765,728,918.25 = 6,765,728,918.25/x
  3. Step 3: Cross multiply
    3,149,189,523.75x = 6,765,728,918.25 × 6,765,728,918.25
  4. Step 4: Simplify right side
    3,149,189,523.75x = 45,775,087,795,244,318,720
  5. Step 5: Solve for x
    x = 45,775,087,795,244,318,720/3,149,189,523.75
  6. Step 6: Final answer
    x = 14,535,513,804.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.