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Finding the Third Proportional to 84,035,262 and 182,794,380

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Solution

The third proportional to 84,035,262 and 182,794,380 is: 397,616,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,035,262 : 182,794,380 = 182,794,380 : x
  2. Step 2: Convert to fraction form
    84,035,262/182,794,380 = 182,794,380/x
  3. Step 3: Cross multiply
    84,035,262x = 182,794,380 × 182,794,380
  4. Step 4: Simplify right side
    84,035,262x = 33,413,785,359,584,400
  5. Step 5: Solve for x
    x = 33,413,785,359,584,400/84,035,262
  6. Step 6: Final answer
    x = 397,616,245.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.