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Finding the Third Proportional to 38,202,660 and 82,455,232

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Solution

The third proportional to 38,202,660 and 82,455,232 is: 177,968,374.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,660 : 82,455,232 = 82,455,232 : x
  2. Step 2: Convert to fraction form
    38,202,660/82,455,232 = 82,455,232/x
  3. Step 3: Cross multiply
    38,202,660x = 82,455,232 × 82,455,232
  4. Step 4: Simplify right side
    38,202,660x = 6,798,865,284,173,824
  5. Step 5: Solve for x
    x = 6,798,865,284,173,824/38,202,660
  6. Step 6: Final answer
    x = 177,968,374.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.