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Finding the Third Proportional to 156,456,444,855 and 338,904,904,782

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Solution

The third proportional to 156,456,444,855 and 338,904,904,782 is: 734,111,877,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,456,444,855 : 338,904,904,782 = 338,904,904,782 : x
  2. Step 2: Convert to fraction form
    156,456,444,855/338,904,904,782 = 338,904,904,782/x
  3. Step 3: Cross multiply
    156,456,444,855x = 338,904,904,782 × 338,904,904,782
  4. Step 4: Simplify right side
    156,456,444,855x = 114,856,534,485,296,480,256,000
  5. Step 5: Solve for x
    x = 114,856,534,485,296,480,256,000/156,456,444,855
  6. Step 6: Final answer
    x = 734,111,877,537.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.