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Finding the Third Proportional to 3,880,972,690,438.20 and 8,381,604,341,902.20

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Solution

The third proportional to 3,880,972,690,438.20 and 8,381,604,341,902.20 is: 18,101,465,005,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880,972,690,438.20 : 8,381,604,341,902.20 = 8,381,604,341,902.20 : x
  2. Step 2: Convert to fraction form
    3,880,972,690,438.20/8,381,604,341,902.20 = 8,381,604,341,902.20/x
  3. Step 3: Cross multiply
    3,880,972,690,438.20x = 8,381,604,341,902.20 × 8,381,604,341,902.20
  4. Step 4: Simplify right side
    3,880,972,690,438.20x = 70,251,291,344,193,814,723,035,136
  5. Step 5: Solve for x
    x = 70,251,291,344,193,814,723,035,136/3,880,972,690,438.20
  6. Step 6: Final answer
    x = 18,101,465,005,738.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.