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Finding the Third Proportional to 17,796,375 and 38,275,470

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Solution

The third proportional to 17,796,375 and 38,275,470 is: 82,320,787.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796,375 : 38,275,470 = 38,275,470 : x
  2. Step 2: Convert to fraction form
    17,796,375/38,275,470 = 38,275,470/x
  3. Step 3: Cross multiply
    17,796,375x = 38,275,470 × 38,275,470
  4. Step 4: Simplify right side
    17,796,375x = 1,465,011,603,720,900
  5. Step 5: Solve for x
    x = 1,465,011,603,720,900/17,796,375
  6. Step 6: Final answer
    x = 82,320,787.45

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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.