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Finding the Third Proportional to 8,388,177 and 18,346,368

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Solution

The third proportional to 8,388,177 and 18,346,368 is: 40,126,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,177 : 18,346,368 = 18,346,368 : x
  2. Step 2: Convert to fraction form
    8,388,177/18,346,368 = 18,346,368/x
  3. Step 3: Cross multiply
    8,388,177x = 18,346,368 × 18,346,368
  4. Step 4: Simplify right side
    8,388,177x = 336,589,218,791,424
  5. Step 5: Solve for x
    x = 336,589,218,791,424/8,388,177
  6. Step 6: Final answer
    x = 40,126,623.32

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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.