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Finding the Third Proportional to 7,589,709,424,183 and 11,562,397,315,189

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Solution

The third proportional to 7,589,709,424,183 and 11,562,397,315,189 is: 17,614,512,519,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589,709,424,183 : 11,562,397,315,189 = 11,562,397,315,189 : x
  2. Step 2: Convert to fraction form
    7,589,709,424,183/11,562,397,315,189 = 11,562,397,315,189/x
  3. Step 3: Cross multiply
    7,589,709,424,183x = 11,562,397,315,189 × 11,562,397,315,189
  4. Step 4: Simplify right side
    7,589,709,424,183x = 133,689,031,674,289,790,413,438,976
  5. Step 5: Solve for x
    x = 133,689,031,674,289,790,413,438,976/7,589,709,424,183
  6. Step 6: Final answer
    x = 17,614,512,519,849.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.