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Finding the Third Proportional to 11,744,138 and 17,163,023

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Solution

The third proportional to 11,744,138 and 17,163,023 is: 25,082,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744,138 : 17,163,023 = 17,163,023 : x
  2. Step 2: Convert to fraction form
    11,744,138/17,163,023 = 17,163,023/x
  3. Step 3: Cross multiply
    11,744,138x = 17,163,023 × 17,163,023
  4. Step 4: Simplify right side
    11,744,138x = 294,569,358,498,529
  5. Step 5: Solve for x
    x = 294,569,358,498,529/11,744,138
  6. Step 6: Final answer
    x = 25,082,246.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.