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Finding the Third Proportional to 34,605,711 and 74,682,945

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Solution

The third proportional to 34,605,711 and 74,682,945 is: 161,174,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605,711 : 74,682,945 = 74,682,945 : x
  2. Step 2: Convert to fraction form
    34,605,711/74,682,945 = 74,682,945/x
  3. Step 3: Cross multiply
    34,605,711x = 74,682,945 × 74,682,945
  4. Step 4: Simplify right side
    34,605,711x = 5,577,542,273,873,025
  5. Step 5: Solve for x
    x = 5,577,542,273,873,025/34,605,711
  6. Step 6: Final answer
    x = 161,174,040.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.