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Finding the Third Proportional to 751,468,114 and 1,207,981,019

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Solution

The third proportional to 751,468,114 and 1,207,981,019 is: 1,941,823,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,468,114 : 1,207,981,019 = 1,207,981,019 : x
  2. Step 2: Convert to fraction form
    751,468,114/1,207,981,019 = 1,207,981,019/x
  3. Step 3: Cross multiply
    751,468,114x = 1,207,981,019 × 1,207,981,019
  4. Step 4: Simplify right side
    751,468,114x = 1,459,218,142,264,278,272
  5. Step 5: Solve for x
    x = 1,459,218,142,264,278,272/751,468,114
  6. Step 6: Final answer
    x = 1,941,823,099.45

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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.