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Finding the Third Proportional to 66,823,901 and 106,331,019

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Solution

The third proportional to 66,823,901 and 106,331,019 is: 169,195,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,823,901 : 106,331,019 = 106,331,019 : x
  2. Step 2: Convert to fraction form
    66,823,901/106,331,019 = 106,331,019/x
  3. Step 3: Cross multiply
    66,823,901x = 106,331,019 × 106,331,019
  4. Step 4: Simplify right side
    66,823,901x = 11,306,285,601,578,360
  5. Step 5: Solve for x
    x = 11,306,285,601,578,360/66,823,901
  6. Step 6: Final answer
    x = 169,195,234.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.