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Finding the Third Proportional to 9,143,343 and 12,453,660

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Solution

The third proportional to 9,143,343 and 12,453,660 is: 16,962,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143,343 : 12,453,660 = 12,453,660 : x
  2. Step 2: Convert to fraction form
    9,143,343/12,453,660 = 12,453,660/x
  3. Step 3: Cross multiply
    9,143,343x = 12,453,660 × 12,453,660
  4. Step 4: Simplify right side
    9,143,343x = 155,093,647,395,600
  5. Step 5: Solve for x
    x = 155,093,647,395,600/9,143,343
  6. Step 6: Final answer
    x = 16,962,466.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.