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Finding the Third Proportional to 38,289,058 and 81,960,176

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Solution

The third proportional to 38,289,058 and 81,960,176 is: 175,440,995.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,289,058 : 81,960,176 = 81,960,176 : x
  2. Step 2: Convert to fraction form
    38,289,058/81,960,176 = 81,960,176/x
  3. Step 3: Cross multiply
    38,289,058x = 81,960,176 × 81,960,176
  4. Step 4: Simplify right side
    38,289,058x = 6,717,470,449,950,976
  5. Step 5: Solve for x
    x = 6,717,470,449,950,976/38,289,058
  6. Step 6: Final answer
    x = 175,440,995.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.