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Finding the Third Proportional to 33,272,379,864 and 73,983,988,920

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Solution

The third proportional to 33,272,379,864 and 73,983,988,920 is: 164,509,741,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272,379,864 : 73,983,988,920 = 73,983,988,920 : x
  2. Step 2: Convert to fraction form
    33,272,379,864/73,983,988,920 = 73,983,988,920/x
  3. Step 3: Cross multiply
    33,272,379,864x = 73,983,988,920 × 73,983,988,920
  4. Step 4: Simplify right side
    33,272,379,864x = 5,473,630,616,514,682,945,536
  5. Step 5: Solve for x
    x = 5,473,630,616,514,682,945,536/33,272,379,864
  6. Step 6: Final answer
    x = 164,509,741,680.28

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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.