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Finding the Third Proportional to 8,388,165 and 18,346,344

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Solution

The third proportional to 8,388,165 and 18,346,344 is: 40,126,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,165 : 18,346,344 = 18,346,344 : x
  2. Step 2: Convert to fraction form
    8,388,165/18,346,344 = 18,346,344/x
  3. Step 3: Cross multiply
    8,388,165x = 18,346,344 × 18,346,344
  4. Step 4: Simplify right side
    8,388,165x = 336,588,338,166,336
  5. Step 5: Solve for x
    x = 336,588,338,166,336/8,388,165
  6. Step 6: Final answer
    x = 40,126,575.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.