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Finding the Third Proportional to 38,354,320 and 82,400,576

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Solution

The third proportional to 38,354,320 and 82,400,576 is: 177,029,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354,320 : 82,400,576 = 82,400,576 : x
  2. Step 2: Convert to fraction form
    38,354,320/82,400,576 = 82,400,576/x
  3. Step 3: Cross multiply
    38,354,320x = 82,400,576 × 82,400,576
  4. Step 4: Simplify right side
    38,354,320x = 6,789,854,925,131,776
  5. Step 5: Solve for x
    x = 6,789,854,925,131,776/38,354,320
  6. Step 6: Final answer
    x = 177,029,730.29

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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.