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Finding the Third Proportional to 33,178,416 and 47,445,192

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Solution

The third proportional to 33,178,416 and 47,445,192 is: 67,846,706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178,416 : 47,445,192 = 47,445,192 : x
  2. Step 2: Convert to fraction form
    33,178,416/47,445,192 = 47,445,192/x
  3. Step 3: Cross multiply
    33,178,416x = 47,445,192 × 47,445,192
  4. Step 4: Simplify right side
    33,178,416x = 2,251,046,243,916,864
  5. Step 5: Solve for x
    x = 2,251,046,243,916,864/33,178,416
  6. Step 6: Final answer
    x = 67,846,706.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.