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Finding the Third Proportional to 11,489,910 and 17,473,599

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Solution

The third proportional to 11,489,910 and 17,473,599 is: 26,573,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489,910 : 17,473,599 = 17,473,599 : x
  2. Step 2: Convert to fraction form
    11,489,910/17,473,599 = 17,473,599/x
  3. Step 3: Cross multiply
    11,489,910x = 17,473,599 × 17,473,599
  4. Step 4: Simplify right side
    11,489,910x = 305,326,662,012,801
  5. Step 5: Solve for x
    x = 305,326,662,012,801/11,489,910
  6. Step 6: Final answer
    x = 26,573,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.