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Finding the Third Proportional to 10,993,344 and 16,161,264

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Solution

The third proportional to 10,993,344 and 16,161,264 is: 23,758,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993,344 : 16,161,264 = 16,161,264 : x
  2. Step 2: Convert to fraction form
    10,993,344/16,161,264 = 16,161,264/x
  3. Step 3: Cross multiply
    10,993,344x = 16,161,264 × 16,161,264
  4. Step 4: Simplify right side
    10,993,344x = 261,186,454,077,696
  5. Step 5: Solve for x
    x = 261,186,454,077,696/10,993,344
  6. Step 6: Final answer
    x = 23,758,599.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.