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Finding the Third Proportional to 11,369,880 and 17,493,966

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Solution

The third proportional to 11,369,880 and 17,493,966 is: 26,916,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369,880 : 17,493,966 = 17,493,966 : x
  2. Step 2: Convert to fraction form
    11,369,880/17,493,966 = 17,493,966/x
  3. Step 3: Cross multiply
    11,369,880x = 17,493,966 × 17,493,966
  4. Step 4: Simplify right side
    11,369,880x = 306,038,846,409,156
  5. Step 5: Solve for x
    x = 306,038,846,409,156/11,369,880
  6. Step 6: Final answer
    x = 26,916,629.41

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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.