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Finding the Third Proportional to 751,468,112 and 1,207,981,016

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Solution

The third proportional to 751,468,112 and 1,207,981,016 is: 1,941,823,094.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,468,112 : 1,207,981,016 = 1,207,981,016 : x
  2. Step 2: Convert to fraction form
    751,468,112/1,207,981,016 = 1,207,981,016/x
  3. Step 3: Cross multiply
    751,468,112x = 1,207,981,016 × 1,207,981,016
  4. Step 4: Simplify right side
    751,468,112x = 1,459,218,135,016,392,192
  5. Step 5: Solve for x
    x = 1,459,218,135,016,392,192/751,468,112
  6. Step 6: Final answer
    x = 1,941,823,094.97

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.