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Finding the Third Proportional to 22,384,772 and 48,194,296

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Solution

The third proportional to 22,384,772 and 48,194,296 is: 103,762,064.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384,772 : 48,194,296 = 48,194,296 : x
  2. Step 2: Convert to fraction form
    22,384,772/48,194,296 = 48,194,296/x
  3. Step 3: Cross multiply
    22,384,772x = 48,194,296 × 48,194,296
  4. Step 4: Simplify right side
    22,384,772x = 2,322,690,166,935,616
  5. Step 5: Solve for x
    x = 2,322,690,166,935,616/22,384,772
  6. Step 6: Final answer
    x = 103,762,064.98

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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.