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Finding the Third Proportional to 6,149,124 and 13,456,629

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Solution

The third proportional to 6,149,124 and 13,456,629 is: 29,448,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,124 : 13,456,629 = 13,456,629 : x
  2. Step 2: Convert to fraction form
    6,149,124/13,456,629 = 13,456,629/x
  3. Step 3: Cross multiply
    6,149,124x = 13,456,629 × 13,456,629
  4. Step 4: Simplify right side
    6,149,124x = 181,080,864,043,641
  5. Step 5: Solve for x
    x = 181,080,864,043,641/6,149,124
  6. Step 6: Final answer
    x = 29,448,237.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.