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Finding the Third Proportional to 17,523,378 and 38,350,197

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Solution

The third proportional to 17,523,378 and 38,350,197 is: 83,930,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523,378 : 38,350,197 = 38,350,197 : x
  2. Step 2: Convert to fraction form
    17,523,378/38,350,197 = 38,350,197/x
  3. Step 3: Cross multiply
    17,523,378x = 38,350,197 × 38,350,197
  4. Step 4: Simplify right side
    17,523,378x = 1,470,737,609,938,809
  5. Step 5: Solve for x
    x = 1,470,737,609,938,809/17,523,378
  6. Step 6: Final answer
    x = 83,930,028.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.