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Finding the Third Proportional to 33,681,564 and 73,027,408

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Solution

The third proportional to 33,681,564 and 73,027,408 is: 158,335,946.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681,564 : 73,027,408 = 73,027,408 : x
  2. Step 2: Convert to fraction form
    33,681,564/73,027,408 = 73,027,408/x
  3. Step 3: Cross multiply
    33,681,564x = 73,027,408 × 73,027,408
  4. Step 4: Simplify right side
    33,681,564x = 5,333,002,319,198,464
  5. Step 5: Solve for x
    x = 5,333,002,319,198,464/33,681,564
  6. Step 6: Final answer
    x = 158,335,946.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.