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Finding the Third Proportional to 7,357,180 and 17,184,219

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Solution

The third proportional to 7,357,180 and 17,184,219 is: 40,137,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357,180 : 17,184,219 = 17,184,219 : x
  2. Step 2: Convert to fraction form
    7,357,180/17,184,219 = 17,184,219/x
  3. Step 3: Cross multiply
    7,357,180x = 17,184,219 × 17,184,219
  4. Step 4: Simplify right side
    7,357,180x = 295,297,382,639,961
  5. Step 5: Solve for x
    x = 295,297,382,639,961/7,357,180
  6. Step 6: Final answer
    x = 40,137,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.