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Finding the Third Proportional to 38,481,992 and 80,148,256

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Solution

The third proportional to 38,481,992 and 80,148,256 is: 166,928,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481,992 : 80,148,256 = 80,148,256 : x
  2. Step 2: Convert to fraction form
    38,481,992/80,148,256 = 80,148,256/x
  3. Step 3: Cross multiply
    38,481,992x = 80,148,256 × 80,148,256
  4. Step 4: Simplify right side
    38,481,992x = 6,423,742,939,841,536
  5. Step 5: Solve for x
    x = 6,423,742,939,841,536/38,481,992
  6. Step 6: Final answer
    x = 166,928,545.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.