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Finding the Third Proportional to 836,759,072 and 1,824,181,924

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Solution

The third proportional to 836,759,072 and 1,824,181,924 is: 3,976,819,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,759,072 : 1,824,181,924 = 1,824,181,924 : x
  2. Step 2: Convert to fraction form
    836,759,072/1,824,181,924 = 1,824,181,924/x
  3. Step 3: Cross multiply
    836,759,072x = 1,824,181,924 × 1,824,181,924
  4. Step 4: Simplify right side
    836,759,072x = 3,327,639,691,848,342,016
  5. Step 5: Solve for x
    x = 3,327,639,691,848,342,016/836,759,072
  6. Step 6: Final answer
    x = 3,976,819,377.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.