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Finding the Third Proportional to 33,524,904 and 72,391,920

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Solution

The third proportional to 33,524,904 and 72,391,920 is: 156,319,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,524,904 : 72,391,920 = 72,391,920 : x
  2. Step 2: Convert to fraction form
    33,524,904/72,391,920 = 72,391,920/x
  3. Step 3: Cross multiply
    33,524,904x = 72,391,920 × 72,391,920
  4. Step 4: Simplify right side
    33,524,904x = 5,240,590,081,286,400
  5. Step 5: Solve for x
    x = 5,240,590,081,286,400/33,524,904
  6. Step 6: Final answer
    x = 156,319,316.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.