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Finding the Third Proportional to 6,129,576 and 13,454,712

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Solution

The third proportional to 6,129,576 and 13,454,712 is: 29,533,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,576 : 13,454,712 = 13,454,712 : x
  2. Step 2: Convert to fraction form
    6,129,576/13,454,712 = 13,454,712/x
  3. Step 3: Cross multiply
    6,129,576x = 13,454,712 × 13,454,712
  4. Step 4: Simplify right side
    6,129,576x = 181,029,275,002,944
  5. Step 5: Solve for x
    x = 181,029,275,002,944/6,129,576
  6. Step 6: Final answer
    x = 29,533,735.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.