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Finding the Third Proportional to 17,380,413 and 37,747,269

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Solution

The third proportional to 17,380,413 and 37,747,269 is: 81,980,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380,413 : 37,747,269 = 37,747,269 : x
  2. Step 2: Convert to fraction form
    17,380,413/37,747,269 = 37,747,269/x
  3. Step 3: Cross multiply
    17,380,413x = 37,747,269 × 37,747,269
  4. Step 4: Simplify right side
    17,380,413x = 1,424,856,316,958,361
  5. Step 5: Solve for x
    x = 1,424,856,316,958,361/17,380,413
  6. Step 6: Final answer
    x = 81,980,578.77

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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.