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Finding the Third Proportional to 919,805,099 and 1,379,369,961

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Solution

The third proportional to 919,805,099 and 1,379,369,961 is: 2,068,548,534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,805,099 : 1,379,369,961 = 1,379,369,961 : x
  2. Step 2: Convert to fraction form
    919,805,099/1,379,369,961 = 1,379,369,961/x
  3. Step 3: Cross multiply
    919,805,099x = 1,379,369,961 × 1,379,369,961
  4. Step 4: Simplify right side
    919,805,099x = 1,902,661,489,309,141,504
  5. Step 5: Solve for x
    x = 1,902,661,489,309,141,504/919,805,099
  6. Step 6: Final answer
    x = 2,068,548,534.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.