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Finding the Third Proportional to 11,529,974 and 17,685,706

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Solution

The third proportional to 11,529,974 and 17,685,706 is: 27,127,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529,974 : 17,685,706 = 17,685,706 : x
  2. Step 2: Convert to fraction form
    11,529,974/17,685,706 = 17,685,706/x
  3. Step 3: Cross multiply
    11,529,974x = 17,685,706 × 17,685,706
  4. Step 4: Simplify right side
    11,529,974x = 312,784,196,718,436
  5. Step 5: Solve for x
    x = 312,784,196,718,436/11,529,974
  6. Step 6: Final answer
    x = 27,127,918.65

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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.