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Finding the Third Proportional to 5,663,268,729 and 7,874,322,493.50

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Solution

The third proportional to 5,663,268,729 and 7,874,322,493.50 is: 10,948,616,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,729 : 7,874,322,493.50 = 7,874,322,493.50 : x
  2. Step 2: Convert to fraction form
    5,663,268,729/7,874,322,493.50 = 7,874,322,493.50/x
  3. Step 3: Cross multiply
    5,663,268,729x = 7,874,322,493.50 × 7,874,322,493.50
  4. Step 4: Simplify right side
    5,663,268,729x = 62,004,954,731,640,053,760
  5. Step 5: Solve for x
    x = 62,004,954,731,640,053,760/5,663,268,729
  6. Step 6: Final answer
    x = 10,948,616,019.96

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.