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Finding the Third Proportional to 38,202,648 and 82,455,208

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Solution

The third proportional to 38,202,648 and 82,455,208 is: 177,968,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202,648 : 82,455,208 = 82,455,208 : x
  2. Step 2: Convert to fraction form
    38,202,648/82,455,208 = 82,455,208/x
  3. Step 3: Cross multiply
    38,202,648x = 82,455,208 × 82,455,208
  4. Step 4: Simplify right side
    38,202,648x = 6,798,861,326,323,264
  5. Step 5: Solve for x
    x = 6,798,861,326,323,264/38,202,648
  6. Step 6: Final answer
    x = 177,968,326.34

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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.