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Finding the Third Proportional to 8,225,115 and 17,823,022

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Solution

The third proportional to 8,225,115 and 17,823,022 is: 38,620,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225,115 : 17,823,022 = 17,823,022 : x
  2. Step 2: Convert to fraction form
    8,225,115/17,823,022 = 17,823,022/x
  3. Step 3: Cross multiply
    8,225,115x = 17,823,022 × 17,823,022
  4. Step 4: Simplify right side
    8,225,115x = 317,660,113,212,484
  5. Step 5: Solve for x
    x = 317,660,113,212,484/8,225,115
  6. Step 6: Final answer
    x = 38,620,750.37

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Why These Related Problems?

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