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Finding the Third Proportional to 7,474,574 and 11,543,109

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Solution

The third proportional to 7,474,574 and 11,543,109 is: 17,826,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,574 : 11,543,109 = 11,543,109 : x
  2. Step 2: Convert to fraction form
    7,474,574/11,543,109 = 11,543,109/x
  3. Step 3: Cross multiply
    7,474,574x = 11,543,109 × 11,543,109
  4. Step 4: Simplify right side
    7,474,574x = 133,243,365,385,881
  5. Step 5: Solve for x
    x = 133,243,365,385,881/7,474,574
  6. Step 6: Final answer
    x = 17,826,215.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.