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Finding the Third Proportional to 3,826,089,522,078.80 and 8,432,057,942,905.50

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Solution

The third proportional to 3,826,089,522,078.80 and 8,432,057,942,905.50 is: 18,582,837,840,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826,089,522,078.80 : 8,432,057,942,905.50 = 8,432,057,942,905.50 : x
  2. Step 2: Convert to fraction form
    3,826,089,522,078.80/8,432,057,942,905.50 = 8,432,057,942,905.50/x
  3. Step 3: Cross multiply
    3,826,089,522,078.80x = 8,432,057,942,905.50 × 8,432,057,942,905.50
  4. Step 4: Simplify right side
    3,826,089,522,078.80x = 71,099,601,152,515,728,692,215,808
  5. Step 5: Solve for x
    x = 71,099,601,152,515,728,692,215,808/3,826,089,522,078.80
  6. Step 6: Final answer
    x = 18,582,837,840,627.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.