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Finding the Third Proportional to 11,369,919 and 17,494,023

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Solution

The third proportional to 11,369,919 and 17,494,023 is: 26,916,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369,919 : 17,494,023 = 17,494,023 : x
  2. Step 2: Convert to fraction form
    11,369,919/17,494,023 = 17,494,023/x
  3. Step 3: Cross multiply
    11,369,919x = 17,494,023 × 17,494,023
  4. Step 4: Simplify right side
    11,369,919x = 306,040,840,724,529
  5. Step 5: Solve for x
    x = 306,040,840,724,529/11,369,919
  6. Step 6: Final answer
    x = 26,916,712.49

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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.