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Finding the Third Proportional to 11,489,920 and 17,473,614

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Solution

The third proportional to 11,489,920 and 17,473,614 is: 26,573,482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489,920 : 17,473,614 = 17,473,614 : x
  2. Step 2: Convert to fraction form
    11,489,920/17,473,614 = 17,473,614/x
  3. Step 3: Cross multiply
    11,489,920x = 17,473,614 × 17,473,614
  4. Step 4: Simplify right side
    11,489,920x = 305,327,186,220,996
  5. Step 5: Solve for x
    x = 305,327,186,220,996/11,489,920
  6. Step 6: Final answer
    x = 26,573,482.34

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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.