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Finding the Third Proportional to 13,674,576 and 29,179,760

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Solution

The third proportional to 13,674,576 and 29,179,760 is: 62,265,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674,576 : 29,179,760 = 29,179,760 : x
  2. Step 2: Convert to fraction form
    13,674,576/29,179,760 = 29,179,760/x
  3. Step 3: Cross multiply
    13,674,576x = 29,179,760 × 29,179,760
  4. Step 4: Simplify right side
    13,674,576x = 851,458,393,657,600
  5. Step 5: Solve for x
    x = 851,458,393,657,600/13,674,576
  6. Step 6: Final answer
    x = 62,265,798.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.