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Finding the Third Proportional to 4,305,254,886 and 6,738,899,761

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Solution

The third proportional to 4,305,254,886 and 6,738,899,761 is: 10,548,218,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,254,886 : 6,738,899,761 = 6,738,899,761 : x
  2. Step 2: Convert to fraction form
    4,305,254,886/6,738,899,761 = 6,738,899,761/x
  3. Step 3: Cross multiply
    4,305,254,886x = 6,738,899,761 × 6,738,899,761
  4. Step 4: Simplify right side
    4,305,254,886x = 45,412,769,988,805,853,184
  5. Step 5: Solve for x
    x = 45,412,769,988,805,853,184/4,305,254,886
  6. Step 6: Final answer
    x = 10,548,218,674.92

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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.