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Finding the Third Proportional to 6,197,606 and 13,424,340

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Solution

The third proportional to 6,197,606 and 13,424,340 is: 29,077,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197,606 : 13,424,340 = 13,424,340 : x
  2. Step 2: Convert to fraction form
    6,197,606/13,424,340 = 13,424,340/x
  3. Step 3: Cross multiply
    6,197,606x = 13,424,340 × 13,424,340
  4. Step 4: Simplify right side
    6,197,606x = 180,212,904,435,600
  5. Step 5: Solve for x
    x = 180,212,904,435,600/6,197,606
  6. Step 6: Final answer
    x = 29,077,825.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.