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Finding the Third Proportional to 38,360,014.50 and 82,161,285

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Solution

The third proportional to 38,360,014.50 and 82,161,285 is: 175,976,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360,014.50 : 82,161,285 = 82,161,285 : x
  2. Step 2: Convert to fraction form
    38,360,014.50/82,161,285 = 82,161,285/x
  3. Step 3: Cross multiply
    38,360,014.50x = 82,161,285 × 82,161,285
  4. Step 4: Simplify right side
    38,360,014.50x = 6,750,476,752,851,225
  5. Step 5: Solve for x
    x = 6,750,476,752,851,225/38,360,014.50
  6. Step 6: Final answer
    x = 175,976,908.27

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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.