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Finding the Third Proportional to 33,521,768 and 51,257,327

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Solution

The third proportional to 33,521,768 and 51,257,327 is: 78,376,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,521,768 : 51,257,327 = 51,257,327 : x
  2. Step 2: Convert to fraction form
    33,521,768/51,257,327 = 51,257,327/x
  3. Step 3: Cross multiply
    33,521,768x = 51,257,327 × 51,257,327
  4. Step 4: Simplify right side
    33,521,768x = 2,627,313,571,184,929
  5. Step 5: Solve for x
    x = 2,627,313,571,184,929/33,521,768
  6. Step 6: Final answer
    x = 78,376,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.