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Finding the Third Proportional to 33,299,784 and 67,518,180

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Solution

The third proportional to 33,299,784 and 67,518,180 is: 136,898,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,299,784 : 67,518,180 = 67,518,180 : x
  2. Step 2: Convert to fraction form
    33,299,784/67,518,180 = 67,518,180/x
  3. Step 3: Cross multiply
    33,299,784x = 67,518,180 × 67,518,180
  4. Step 4: Simplify right side
    33,299,784x = 4,558,704,630,512,400
  5. Step 5: Solve for x
    x = 4,558,704,630,512,400/33,299,784
  6. Step 6: Final answer
    x = 136,898,924.95

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.