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Finding the Third Proportional to 34,220,916 and 76,093,089

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Solution

The third proportional to 34,220,916 and 76,093,089 is: 169,199,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,916 : 76,093,089 = 76,093,089 : x
  2. Step 2: Convert to fraction form
    34,220,916/76,093,089 = 76,093,089/x
  3. Step 3: Cross multiply
    34,220,916x = 76,093,089 × 76,093,089
  4. Step 4: Simplify right side
    34,220,916x = 5,790,158,193,561,921
  5. Step 5: Solve for x
    x = 5,790,158,193,561,921/34,220,916
  6. Step 6: Final answer
    x = 169,199,392.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.