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Finding the Third Proportional to 438,761,514,134.25 and 889,860,002,915.25

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Solution

The third proportional to 438,761,514,134.25 and 889,860,002,915.25 is: 1,804,740,842,757.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,761,514,134.25 : 889,860,002,915.25 = 889,860,002,915.25 : x
  2. Step 2: Convert to fraction form
    438,761,514,134.25/889,860,002,915.25 = 889,860,002,915.25/x
  3. Step 3: Cross multiply
    438,761,514,134.25x = 889,860,002,915.25 × 889,860,002,915.25
  4. Step 4: Simplify right side
    438,761,514,134.25x = 791,850,824,788,328,742,649,856
  5. Step 5: Solve for x
    x = 791,850,824,788,328,742,649,856/438,761,514,134.25
  6. Step 6: Final answer
    x = 1,804,740,842,757.79

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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.