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Finding the Third Proportional to 17,907,524 and 38,370,194

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Solution

The third proportional to 17,907,524 and 38,370,194 is: 82,215,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907,524 : 38,370,194 = 38,370,194 : x
  2. Step 2: Convert to fraction form
    17,907,524/38,370,194 = 38,370,194/x
  3. Step 3: Cross multiply
    17,907,524x = 38,370,194 × 38,370,194
  4. Step 4: Simplify right side
    17,907,524x = 1,472,271,787,597,636
  5. Step 5: Solve for x
    x = 1,472,271,787,597,636/17,907,524
  6. Step 6: Final answer
    x = 82,215,262.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.