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Finding the Third Proportional to 349,898,322 and 751,722,500

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Solution

The third proportional to 349,898,322 and 751,722,500 is: 1,615,002,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,898,322 : 751,722,500 = 751,722,500 : x
  2. Step 2: Convert to fraction form
    349,898,322/751,722,500 = 751,722,500/x
  3. Step 3: Cross multiply
    349,898,322x = 751,722,500 × 751,722,500
  4. Step 4: Simplify right side
    349,898,322x = 565,086,717,006,249,984
  5. Step 5: Solve for x
    x = 565,086,717,006,249,984/349,898,322
  6. Step 6: Final answer
    x = 1,615,002,649.27

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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.