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Finding the Third Proportional to 4,305,254,883.75 and 6,738,899,757.75

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Solution

The third proportional to 4,305,254,883.75 and 6,738,899,757.75 is: 10,548,218,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,254,883.75 : 6,738,899,757.75 = 6,738,899,757.75 : x
  2. Step 2: Convert to fraction form
    4,305,254,883.75/6,738,899,757.75 = 6,738,899,757.75/x
  3. Step 3: Cross multiply
    4,305,254,883.75x = 6,738,899,757.75 × 6,738,899,757.75
  4. Step 4: Simplify right side
    4,305,254,883.75x = 45,412,769,945,003,008,000
  5. Step 5: Solve for x
    x = 45,412,769,945,003,008,000/4,305,254,883.75
  6. Step 6: Final answer
    x = 10,548,218,670.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.