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Finding the Third Proportional to 751,027,752 and 1,523,279,853

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Solution

The third proportional to 751,027,752 and 1,523,279,853 is: 3,089,608,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,027,752 : 1,523,279,853 = 1,523,279,853 : x
  2. Step 2: Convert to fraction form
    751,027,752/1,523,279,853 = 1,523,279,853/x
  3. Step 3: Cross multiply
    751,027,752x = 1,523,279,853 × 1,523,279,853
  4. Step 4: Simplify right side
    751,027,752x = 2,320,381,510,555,701,760
  5. Step 5: Solve for x
    x = 2,320,381,510,555,701,760/751,027,752
  6. Step 6: Final answer
    x = 3,089,608,212.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.