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Finding the Third Proportional to 1,272,741,660 and 2,739,998,016

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Solution

The third proportional to 1,272,741,660 and 2,739,998,016 is: 5,898,753,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,741,660 : 2,739,998,016 = 2,739,998,016 : x
  2. Step 2: Convert to fraction form
    1,272,741,660/2,739,998,016 = 2,739,998,016/x
  3. Step 3: Cross multiply
    1,272,741,660x = 2,739,998,016 × 2,739,998,016
  4. Step 4: Simplify right side
    1,272,741,660x = 7,507,589,127,683,936,256
  5. Step 5: Solve for x
    x = 7,507,589,127,683,936,256/1,272,741,660
  6. Step 6: Final answer
    x = 5,898,753,347.70

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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.