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Finding the Third Proportional to 12,899,000 and 18,646,464

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Solution

The third proportional to 12,899,000 and 18,646,464 is: 26,954,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899,000 : 18,646,464 = 18,646,464 : x
  2. Step 2: Convert to fraction form
    12,899,000/18,646,464 = 18,646,464/x
  3. Step 3: Cross multiply
    12,899,000x = 18,646,464 × 18,646,464
  4. Step 4: Simplify right side
    12,899,000x = 347,690,619,703,296
  5. Step 5: Solve for x
    x = 347,690,619,703,296/12,899,000
  6. Step 6: Final answer
    x = 26,954,850.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.