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Finding the Third Proportional to 33,480,000 and 47,387,214

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Solution

The third proportional to 33,480,000 and 47,387,214 is: 67,071,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480,000 : 47,387,214 = 47,387,214 : x
  2. Step 2: Convert to fraction form
    33,480,000/47,387,214 = 47,387,214/x
  3. Step 3: Cross multiply
    33,480,000x = 47,387,214 × 47,387,214
  4. Step 4: Simplify right side
    33,480,000x = 2,245,548,050,681,796
  5. Step 5: Solve for x
    x = 2,245,548,050,681,796/33,480,000
  6. Step 6: Final answer
    x = 67,071,327.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.