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Finding the Third Proportional to 76,724,741 and 164,393,218

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Solution

The third proportional to 76,724,741 and 164,393,218 is: 352,234,882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724,741 : 164,393,218 = 164,393,218 : x
  2. Step 2: Convert to fraction form
    76,724,741/164,393,218 = 164,393,218/x
  3. Step 3: Cross multiply
    76,724,741x = 164,393,218 × 164,393,218
  4. Step 4: Simplify right side
    76,724,741x = 27,025,130,124,395,524
  5. Step 5: Solve for x
    x = 27,025,130,124,395,524/76,724,741
  6. Step 6: Final answer
    x = 352,234,882.41

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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.