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Finding the Third Proportional to 5,621,224 and 8,416,427

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Solution

The third proportional to 5,621,224 and 8,416,427 is: 12,601,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621,224 : 8,416,427 = 8,416,427 : x
  2. Step 2: Convert to fraction form
    5,621,224/8,416,427 = 8,416,427/x
  3. Step 3: Cross multiply
    5,621,224x = 8,416,427 × 8,416,427
  4. Step 4: Simplify right side
    5,621,224x = 70,836,243,446,329
  5. Step 5: Solve for x
    x = 70,836,243,446,329/5,621,224
  6. Step 6: Final answer
    x = 12,601,569.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.