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Finding the Third Proportional to 3,669,164 and 8,633,327

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Solution

The third proportional to 3,669,164 and 8,633,327 is: 20,313,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,164 : 8,633,327 = 8,633,327 : x
  2. Step 2: Convert to fraction form
    3,669,164/8,633,327 = 8,633,327/x
  3. Step 3: Cross multiply
    3,669,164x = 8,633,327 × 8,633,327
  4. Step 4: Simplify right side
    3,669,164x = 74,534,335,088,929
  5. Step 5: Solve for x
    x = 74,534,335,088,929/3,669,164
  6. Step 6: Final answer
    x = 20,313,710.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.