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Finding the Third Proportional to 8,584,864 and 18,193,243

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Solution

The third proportional to 8,584,864 and 18,193,243 is: 38,555,542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,864 : 18,193,243 = 18,193,243 : x
  2. Step 2: Convert to fraction form
    8,584,864/18,193,243 = 18,193,243/x
  3. Step 3: Cross multiply
    8,584,864x = 18,193,243 × 18,193,243
  4. Step 4: Simplify right side
    8,584,864x = 330,994,090,857,049
  5. Step 5: Solve for x
    x = 330,994,090,857,049/8,584,864
  6. Step 6: Final answer
    x = 38,555,542.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.