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Finding the Third Proportional to 4,305,254,889 and 6,738,899,763

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Solution

The third proportional to 4,305,254,889 and 6,738,899,763 is: 10,548,218,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305,254,889 : 6,738,899,763 = 6,738,899,763 : x
  2. Step 2: Convert to fraction form
    4,305,254,889/6,738,899,763 = 6,738,899,763/x
  3. Step 3: Cross multiply
    4,305,254,889x = 6,738,899,763 × 6,738,899,763
  4. Step 4: Simplify right side
    4,305,254,889x = 45,412,770,015,761,457,152
  5. Step 5: Solve for x
    x = 45,412,770,015,761,457,152/4,305,254,889
  6. Step 6: Final answer
    x = 10,548,218,673.83

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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.