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Finding the Third Proportional to 3,824,900 and 8,322,730

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Solution

The third proportional to 3,824,900 and 8,322,730 is: 18,109,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824,900 : 8,322,730 = 8,322,730 : x
  2. Step 2: Convert to fraction form
    3,824,900/8,322,730 = 8,322,730/x
  3. Step 3: Cross multiply
    3,824,900x = 8,322,730 × 8,322,730
  4. Step 4: Simplify right side
    3,824,900x = 69,267,834,652,900
  5. Step 5: Solve for x
    x = 69,267,834,652,900/3,824,900
  6. Step 6: Final answer
    x = 18,109,711.27

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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.