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Finding the Third Proportional to 8,384,400 and 17,965,088

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Solution

The third proportional to 8,384,400 and 17,965,088 is: 38,493,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384,400 : 17,965,088 = 17,965,088 : x
  2. Step 2: Convert to fraction form
    8,384,400/17,965,088 = 17,965,088/x
  3. Step 3: Cross multiply
    8,384,400x = 17,965,088 × 17,965,088
  4. Step 4: Simplify right side
    8,384,400x = 322,744,386,847,744
  5. Step 5: Solve for x
    x = 322,744,386,847,744/8,384,400
  6. Step 6: Final answer
    x = 38,493,438.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.