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Finding the Third Proportional to 349,898,331 and 751,722,512

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Solution

The third proportional to 349,898,331 and 751,722,512 is: 1,615,002,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,898,331 : 751,722,512 = 751,722,512 : x
  2. Step 2: Convert to fraction form
    349,898,331/751,722,512 = 751,722,512/x
  3. Step 3: Cross multiply
    349,898,331x = 751,722,512 × 751,722,512
  4. Step 4: Simplify right side
    349,898,331x = 565,086,735,047,590,144
  5. Step 5: Solve for x
    x = 565,086,735,047,590,144/349,898,331
  6. Step 6: Final answer
    x = 1,615,002,659.29

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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.