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Finding the Third Proportional to 17,738,184 and 38,245,107

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Solution

The third proportional to 17,738,184 and 38,245,107 is: 82,459,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738,184 : 38,245,107 = 38,245,107 : x
  2. Step 2: Convert to fraction form
    17,738,184/38,245,107 = 38,245,107/x
  3. Step 3: Cross multiply
    17,738,184x = 38,245,107 × 38,245,107
  4. Step 4: Simplify right side
    17,738,184x = 1,462,688,209,441,449
  5. Step 5: Solve for x
    x = 1,462,688,209,441,449/17,738,184
  6. Step 6: Final answer
    x = 82,459,862.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.