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Finding the Third Proportional to 8,388,184 and 18,346,380

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Solution

The third proportional to 8,388,184 and 18,346,380 is: 40,126,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388,184 : 18,346,380 = 18,346,380 : x
  2. Step 2: Convert to fraction form
    8,388,184/18,346,380 = 18,346,380/x
  3. Step 3: Cross multiply
    8,388,184x = 18,346,380 × 18,346,380
  4. Step 4: Simplify right side
    8,388,184x = 336,589,659,104,400
  5. Step 5: Solve for x
    x = 336,589,659,104,400/8,388,184
  6. Step 6: Final answer
    x = 40,126,642.32

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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.