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Finding the Third Proportional to 438,761,514,136 and 889,860,002,919

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Solution

The third proportional to 438,761,514,136 and 889,860,002,919 is: 1,804,740,842,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,761,514,136 : 889,860,002,919 = 889,860,002,919 : x
  2. Step 2: Convert to fraction form
    438,761,514,136/889,860,002,919 = 889,860,002,919/x
  3. Step 3: Cross multiply
    438,761,514,136x = 889,860,002,919 × 889,860,002,919
  4. Step 4: Simplify right side
    438,761,514,136x = 791,850,824,795,002,719,174,656
  5. Step 5: Solve for x
    x = 791,850,824,795,002,719,174,656/438,761,514,136
  6. Step 6: Final answer
    x = 1,804,740,842,765.80

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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.