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Finding the Third Proportional to 34,986,202 and 75,919,374

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Solution

The third proportional to 34,986,202 and 75,919,374 is: 164,743,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,986,202 : 75,919,374 = 75,919,374 : x
  2. Step 2: Convert to fraction form
    34,986,202/75,919,374 = 75,919,374/x
  3. Step 3: Cross multiply
    34,986,202x = 75,919,374 × 75,919,374
  4. Step 4: Simplify right side
    34,986,202x = 5,763,751,348,551,876
  5. Step 5: Solve for x
    x = 5,763,751,348,551,876/34,986,202
  6. Step 6: Final answer
    x = 164,743,556.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.