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Finding the Third Proportional to 8,225,113 and 17,823,018

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Solution

The third proportional to 8,225,113 and 17,823,018 is: 38,620,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225,113 : 17,823,018 = 17,823,018 : x
  2. Step 2: Convert to fraction form
    8,225,113/17,823,018 = 17,823,018/x
  3. Step 3: Cross multiply
    8,225,113x = 17,823,018 × 17,823,018
  4. Step 4: Simplify right side
    8,225,113x = 317,659,970,628,324
  5. Step 5: Solve for x
    x = 317,659,970,628,324/8,225,113
  6. Step 6: Final answer
    x = 38,620,742.43

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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.