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Finding the Third Proportional to 7,161,707 and 13,957,941

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Solution

The third proportional to 7,161,707 and 13,957,941 is: 27,203,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,707 : 13,957,941 = 13,957,941 : x
  2. Step 2: Convert to fraction form
    7,161,707/13,957,941 = 13,957,941/x
  3. Step 3: Cross multiply
    7,161,707x = 13,957,941 × 13,957,941
  4. Step 4: Simplify right side
    7,161,707x = 194,824,116,959,481
  5. Step 5: Solve for x
    x = 194,824,116,959,481/7,161,707
  6. Step 6: Final answer
    x = 27,203,586.65

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.