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Finding the Third Proportional to 889,129,299,876.50 and 1,199,644,188,238.50

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Solution

The third proportional to 889,129,299,876.50 and 1,199,644,188,238.50 is: 1,618,601,679,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    889,129,299,876.50 : 1,199,644,188,238.50 = 1,199,644,188,238.50 : x
  2. Step 2: Convert to fraction form
    889,129,299,876.50/1,199,644,188,238.50 = 1,199,644,188,238.50/x
  3. Step 3: Cross multiply
    889,129,299,876.50x = 1,199,644,188,238.50 × 1,199,644,188,238.50
  4. Step 4: Simplify right side
    889,129,299,876.50x = 1,439,146,178,374,409,505,472,512
  5. Step 5: Solve for x
    x = 1,439,146,178,374,409,505,472,512/889,129,299,876.50
  6. Step 6: Final answer
    x = 1,618,601,679,839.26

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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.