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Finding the Third Proportional to 17,728,036 and 38,104,328

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Solution

The third proportional to 17,728,036 and 38,104,328 is: 81,900,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728,036 : 38,104,328 = 38,104,328 : x
  2. Step 2: Convert to fraction form
    17,728,036/38,104,328 = 38,104,328/x
  3. Step 3: Cross multiply
    17,728,036x = 38,104,328 × 38,104,328
  4. Step 4: Simplify right side
    17,728,036x = 1,451,939,812,331,584
  5. Step 5: Solve for x
    x = 1,451,939,812,331,584/17,728,036
  6. Step 6: Final answer
    x = 81,900,770.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.