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Finding the Third Proportional to 33,148,845 and 72,319,041

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Solution

The third proportional to 33,148,845 and 72,319,041 is: 157,774,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148,845 : 72,319,041 = 72,319,041 : x
  2. Step 2: Convert to fraction form
    33,148,845/72,319,041 = 72,319,041/x
  3. Step 3: Cross multiply
    33,148,845x = 72,319,041 × 72,319,041
  4. Step 4: Simplify right side
    33,148,845x = 5,230,043,691,159,681
  5. Step 5: Solve for x
    x = 5,230,043,691,159,681/33,148,845
  6. Step 6: Final answer
    x = 157,774,537.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.