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Finding the Third Proportional to 7,474,564 and 11,543,094

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Solution

The third proportional to 7,474,564 and 11,543,094 is: 17,826,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474,564 : 11,543,094 = 11,543,094 : x
  2. Step 2: Convert to fraction form
    7,474,564/11,543,094 = 11,543,094/x
  3. Step 3: Cross multiply
    7,474,564x = 11,543,094 × 11,543,094
  4. Step 4: Simplify right side
    7,474,564x = 133,243,019,092,836
  5. Step 5: Solve for x
    x = 133,243,019,092,836/7,474,564
  6. Step 6: Final answer
    x = 17,826,192.82

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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.