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Finding the Third Proportional to 82,064,614 and 177,747,394

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Solution

The third proportional to 82,064,614 and 177,747,394 is: 384,990,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,064,614 : 177,747,394 = 177,747,394 : x
  2. Step 2: Convert to fraction form
    82,064,614/177,747,394 = 177,747,394/x
  3. Step 3: Cross multiply
    82,064,614x = 177,747,394 × 177,747,394
  4. Step 4: Simplify right side
    82,064,614x = 31,594,136,073,791,236
  5. Step 5: Solve for x
    x = 31,594,136,073,791,236/82,064,614
  6. Step 6: Final answer
    x = 384,990,978.86

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Why These Related Problems?

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