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Finding the Third Proportional to 3,823,526 and 8,342,680

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Solution

The third proportional to 3,823,526 and 8,342,680 is: 18,203,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823,526 : 8,342,680 = 8,342,680 : x
  2. Step 2: Convert to fraction form
    3,823,526/8,342,680 = 8,342,680/x
  3. Step 3: Cross multiply
    3,823,526x = 8,342,680 × 8,342,680
  4. Step 4: Simplify right side
    3,823,526x = 69,600,309,582,400
  5. Step 5: Solve for x
    x = 69,600,309,582,400/3,823,526
  6. Step 6: Final answer
    x = 18,203,174.13

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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.