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Finding the Third Proportional to 7,832,581 and 11,974,049

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Solution

The third proportional to 7,832,581 and 11,974,049 is: 18,305,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,581 : 11,974,049 = 11,974,049 : x
  2. Step 2: Convert to fraction form
    7,832,581/11,974,049 = 11,974,049/x
  3. Step 3: Cross multiply
    7,832,581x = 11,974,049 × 11,974,049
  4. Step 4: Simplify right side
    7,832,581x = 143,377,849,454,401
  5. Step 5: Solve for x
    x = 143,377,849,454,401/7,832,581
  6. Step 6: Final answer
    x = 18,305,313.34

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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.