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Finding the Third Proportional to 34,680,841 and 75,540,503

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Solution

The third proportional to 34,680,841 and 75,540,503 is: 164,539,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,680,841 : 75,540,503 = 75,540,503 : x
  2. Step 2: Convert to fraction form
    34,680,841/75,540,503 = 75,540,503/x
  3. Step 3: Cross multiply
    34,680,841x = 75,540,503 × 75,540,503
  4. Step 4: Simplify right side
    34,680,841x = 5,706,367,593,493,009
  5. Step 5: Solve for x
    x = 5,706,367,593,493,009/34,680,841
  6. Step 6: Final answer
    x = 164,539,481.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.