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Finding the Third Proportional to 889,129,413,432 and 1,199,644,331,121

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Solution

The third proportional to 889,129,413,432 and 1,199,644,331,121 is: 1,618,601,858,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,129,413,432 : 1,199,644,331,121 = 1,199,644,331,121 : x
  2. Step 2: Convert to fraction form
    889,129,413,432/1,199,644,331,121 = 1,199,644,331,121/x
  3. Step 3: Cross multiply
    889,129,413,432x = 1,199,644,331,121 × 1,199,644,331,121
  4. Step 4: Simplify right side
    889,129,413,432x = 1,439,146,521,190,751,503,646,720
  5. Step 5: Solve for x
    x = 1,439,146,521,190,751,503,646,720/889,129,413,432
  6. Step 6: Final answer
    x = 1,618,601,858,682.99

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.