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Finding the Third Proportional to 76,724,738 and 164,393,225

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Solution

The third proportional to 76,724,738 and 164,393,225 is: 352,234,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,738 : 164,393,225 = 164,393,225 : x
  2. Step 2: Convert to fraction form
    76,724,738/164,393,225 = 164,393,225/x
  3. Step 3: Cross multiply
    76,724,738x = 164,393,225 × 164,393,225
  4. Step 4: Simplify right side
    76,724,738x = 27,025,132,425,900,624
  5. Step 5: Solve for x
    x = 27,025,132,425,900,624/76,724,738
  6. Step 6: Final answer
    x = 352,234,926.18

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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.