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Finding the Third Proportional to 349,898,326 and 751,722,508

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Solution

The third proportional to 349,898,326 and 751,722,508 is: 1,615,002,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,898,326 : 751,722,508 = 751,722,508 : x
  2. Step 2: Convert to fraction form
    349,898,326/751,722,508 = 751,722,508/x
  3. Step 3: Cross multiply
    349,898,326x = 751,722,508 × 751,722,508
  4. Step 4: Simplify right side
    349,898,326x = 565,086,729,033,810,048
  5. Step 5: Solve for x
    x = 565,086,729,033,810,048/349,898,326
  6. Step 6: Final answer
    x = 1,615,002,665.19

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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.