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Finding the Third Proportional to 352,577,635,201 and 755,455,100,162

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Solution

The third proportional to 352,577,635,201 and 755,455,100,162 is: 1,618,685,791,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,577,635,201 : 755,455,100,162 = 755,455,100,162 : x
  2. Step 2: Convert to fraction form
    352,577,635,201/755,455,100,162 = 755,455,100,162/x
  3. Step 3: Cross multiply
    352,577,635,201x = 755,455,100,162 × 755,455,100,162
  4. Step 4: Simplify right side
    352,577,635,201x = 570,712,408,360,777,475,424,256
  5. Step 5: Solve for x
    x = 570,712,408,360,777,475,424,256/352,577,635,201
  6. Step 6: Final answer
    x = 1,618,685,791,103.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.