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Finding the Third Proportional to 11,787,002 and 16,637,295

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Solution

The third proportional to 11,787,002 and 16,637,295 is: 23,483,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787,002 : 16,637,295 = 16,637,295 : x
  2. Step 2: Convert to fraction form
    11,787,002/16,637,295 = 16,637,295/x
  3. Step 3: Cross multiply
    11,787,002x = 16,637,295 × 16,637,295
  4. Step 4: Simplify right side
    11,787,002x = 276,799,584,917,025
  5. Step 5: Solve for x
    x = 276,799,584,917,025/11,787,002
  6. Step 6: Final answer
    x = 23,483,459.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.