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Finding the Third Proportional to 38,653,824 and 82,840,824

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Solution

The third proportional to 38,653,824 and 82,840,824 is: 177,540,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,653,824 : 82,840,824 = 82,840,824 : x
  2. Step 2: Convert to fraction form
    38,653,824/82,840,824 = 82,840,824/x
  3. Step 3: Cross multiply
    38,653,824x = 82,840,824 × 82,840,824
  4. Step 4: Simplify right side
    38,653,824x = 6,862,602,120,998,976
  5. Step 5: Solve for x
    x = 6,862,602,120,998,976/38,653,824
  6. Step 6: Final answer
    x = 177,540,057.12

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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.