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Finding the Third Proportional to 47,366,496 and 102,041,856

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Solution

The third proportional to 47,366,496 and 102,041,856 is: 219,829,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,366,496 : 102,041,856 = 102,041,856 : x
  2. Step 2: Convert to fraction form
    47,366,496/102,041,856 = 102,041,856/x
  3. Step 3: Cross multiply
    47,366,496x = 102,041,856 × 102,041,856
  4. Step 4: Simplify right side
    47,366,496x = 10,412,540,375,924,736
  5. Step 5: Solve for x
    x = 10,412,540,375,924,736/47,366,496
  6. Step 6: Final answer
    x = 219,829,230.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.