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Finding the Third Proportional to 4,305,254,879.25 and 6,738,899,749.88

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Solution

The third proportional to 4,305,254,879.25 and 6,738,899,749.88 is: 10,548,218,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,254,879.25 : 6,738,899,749.88 = 6,738,899,749.88 : x
  2. Step 2: Convert to fraction form
    4,305,254,879.25/6,738,899,749.88 = 6,738,899,749.88/x
  3. Step 3: Cross multiply
    4,305,254,879.25x = 6,738,899,749.88 × 6,738,899,749.88
  4. Step 4: Simplify right side
    4,305,254,879.25x = 45,412,769,838,865,334,272
  5. Step 5: Solve for x
    x = 45,412,769,838,865,334,272/4,305,254,879.25
  6. Step 6: Final answer
    x = 10,548,218,656.63

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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.