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Finding the Third Proportional to 76,724,734 and 164,393,217

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Solution

The third proportional to 76,724,734 and 164,393,217 is: 352,234,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,734 : 164,393,217 = 164,393,217 : x
  2. Step 2: Convert to fraction form
    76,724,734/164,393,217 = 164,393,217/x
  3. Step 3: Cross multiply
    76,724,734x = 164,393,217 × 164,393,217
  4. Step 4: Simplify right side
    76,724,734x = 27,025,129,795,609,088
  5. Step 5: Solve for x
    x = 27,025,129,795,609,088/76,724,734
  6. Step 6: Final answer
    x = 352,234,910.27

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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.