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Finding the Third Proportional to 7,832,584 and 11,974,053

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Solution

The third proportional to 7,832,584 and 11,974,053 is: 18,305,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,584 : 11,974,053 = 11,974,053 : x
  2. Step 2: Convert to fraction form
    7,832,584/11,974,053 = 11,974,053/x
  3. Step 3: Cross multiply
    7,832,584x = 11,974,053 × 11,974,053
  4. Step 4: Simplify right side
    7,832,584x = 143,377,945,246,809
  5. Step 5: Solve for x
    x = 143,377,945,246,809/7,832,584
  6. Step 6: Final answer
    x = 18,305,318.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.