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Finding the Third Proportional to 38,288,875 and 81,959,836

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Solution

The third proportional to 38,288,875 and 81,959,836 is: 175,440,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288,875 : 81,959,836 = 81,959,836 : x
  2. Step 2: Convert to fraction form
    38,288,875/81,959,836 = 81,959,836/x
  3. Step 3: Cross multiply
    38,288,875x = 81,959,836 × 81,959,836
  4. Step 4: Simplify right side
    38,288,875x = 6,717,414,717,146,896
  5. Step 5: Solve for x
    x = 6,717,414,717,146,896/38,288,875
  6. Step 6: Final answer
    x = 175,440,378.36

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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.