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Finding the Third Proportional to 49,595,331 and 106,790,406

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Solution

The third proportional to 49,595,331 and 106,790,406 is: 229,944,847.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,595,331 : 106,790,406 = 106,790,406 : x
  2. Step 2: Convert to fraction form
    49,595,331/106,790,406 = 106,790,406/x
  3. Step 3: Cross multiply
    49,595,331x = 106,790,406 × 106,790,406
  4. Step 4: Simplify right side
    49,595,331x = 11,404,190,813,644,836
  5. Step 5: Solve for x
    x = 11,404,190,813,644,836/49,595,331
  6. Step 6: Final answer
    x = 229,944,847.30

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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.