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Finding the Third Proportional to 8,225,104 and 17,823,000

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Solution

The third proportional to 8,225,104 and 17,823,000 is: 38,620,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225,104 : 17,823,000 = 17,823,000 : x
  2. Step 2: Convert to fraction form
    8,225,104/17,823,000 = 17,823,000/x
  3. Step 3: Cross multiply
    8,225,104x = 17,823,000 × 17,823,000
  4. Step 4: Simplify right side
    8,225,104x = 317,659,329,000,000
  5. Step 5: Solve for x
    x = 317,659,329,000,000/8,225,104
  6. Step 6: Final answer
    x = 38,620,706.68

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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.