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Finding the Third Proportional to 34,211,848 and 74,446,689

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Solution

The third proportional to 34,211,848 and 74,446,689 is: 161,999,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211,848 : 74,446,689 = 74,446,689 : x
  2. Step 2: Convert to fraction form
    34,211,848/74,446,689 = 74,446,689/x
  3. Step 3: Cross multiply
    34,211,848x = 74,446,689 × 74,446,689
  4. Step 4: Simplify right side
    34,211,848x = 5,542,309,503,062,721
  5. Step 5: Solve for x
    x = 5,542,309,503,062,721/34,211,848
  6. Step 6: Final answer
    x = 161,999,711.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.