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Finding the Third Proportional to 10,150,296 and 14,589,540

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Solution

The third proportional to 10,150,296 and 14,589,540 is: 20,970,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,296 : 14,589,540 = 14,589,540 : x
  2. Step 2: Convert to fraction form
    10,150,296/14,589,540 = 14,589,540/x
  3. Step 3: Cross multiply
    10,150,296x = 14,589,540 × 14,589,540
  4. Step 4: Simplify right side
    10,150,296x = 212,854,677,411,600
  5. Step 5: Solve for x
    x = 212,854,677,411,600/10,150,296
  6. Step 6: Final answer
    x = 20,970,292.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.