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Finding the Third Proportional to 3,806,193 and 8,243,457

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Solution

The third proportional to 3,806,193 and 8,243,457 is: 17,853,688.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,193 : 8,243,457 = 8,243,457 : x
  2. Step 2: Convert to fraction form
    3,806,193/8,243,457 = 8,243,457/x
  3. Step 3: Cross multiply
    3,806,193x = 8,243,457 × 8,243,457
  4. Step 4: Simplify right side
    3,806,193x = 67,954,583,310,849
  5. Step 5: Solve for x
    x = 67,954,583,310,849/3,806,193
  6. Step 6: Final answer
    x = 17,853,688.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.