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Finding the Third Proportional to 6,853,232 and 15,238,327

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Solution

The third proportional to 6,853,232 and 15,238,327 is: 33,882,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,232 : 15,238,327 = 15,238,327 : x
  2. Step 2: Convert to fraction form
    6,853,232/15,238,327 = 15,238,327/x
  3. Step 3: Cross multiply
    6,853,232x = 15,238,327 × 15,238,327
  4. Step 4: Simplify right side
    6,853,232x = 232,206,609,758,929
  5. Step 5: Solve for x
    x = 232,206,609,758,929/6,853,232
  6. Step 6: Final answer
    x = 33,882,788.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.