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Finding the Third Proportional to 82,064,656 and 177,747,520

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Solution

The third proportional to 82,064,656 and 177,747,520 is: 384,991,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064,656 : 177,747,520 = 177,747,520 : x
  2. Step 2: Convert to fraction form
    82,064,656/177,747,520 = 177,747,520/x
  3. Step 3: Cross multiply
    82,064,656x = 177,747,520 × 177,747,520
  4. Step 4: Simplify right side
    82,064,656x = 31,594,180,866,150,400
  5. Step 5: Solve for x
    x = 31,594,180,866,150,400/82,064,656
  6. Step 6: Final answer
    x = 384,991,327.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.