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Finding the Third Proportional to 6,133,062 and 13,339,941

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Solution

The third proportional to 6,133,062 and 13,339,941 is: 29,015,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133,062 : 13,339,941 = 13,339,941 : x
  2. Step 2: Convert to fraction form
    6,133,062/13,339,941 = 13,339,941/x
  3. Step 3: Cross multiply
    6,133,062x = 13,339,941 × 13,339,941
  4. Step 4: Simplify right side
    6,133,062x = 177,954,025,883,481
  5. Step 5: Solve for x
    x = 177,954,025,883,481/6,133,062
  6. Step 6: Final answer
    x = 29,015,526.97

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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.