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Finding the Third Proportional to 438,761,514,132 and 889,860,002,912

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Solution

The third proportional to 438,761,514,132 and 889,860,002,912 is: 1,804,740,842,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,761,514,132 : 889,860,002,912 = 889,860,002,912 : x
  2. Step 2: Convert to fraction form
    438,761,514,132/889,860,002,912 = 889,860,002,912/x
  3. Step 3: Cross multiply
    438,761,514,132x = 889,860,002,912 × 889,860,002,912
  4. Step 4: Simplify right side
    438,761,514,132x = 791,850,824,782,544,629,661,696
  5. Step 5: Solve for x
    x = 791,850,824,782,544,629,661,696/438,761,514,132
  6. Step 6: Final answer
    x = 1,804,740,842,753.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.