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Finding the Third Proportional to 5,241,658.08 and 11,211,997.22

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Solution

The third proportional to 5,241,658.08 and 11,211,997.22 is: 23,982,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241,658.08 : 11,211,997.22 = 11,211,997.22 : x
  2. Step 2: Convert to fraction form
    5,241,658.08/11,211,997.22 = 11,211,997.22/x
  3. Step 3: Cross multiply
    5,241,658.08x = 11,211,997.22 × 11,211,997.22
  4. Step 4: Simplify right side
    5,241,658.08x = 125,708,881,633,257.73
  5. Step 5: Solve for x
    x = 125,708,881,633,257.73/5,241,658.08
  6. Step 6: Final answer
    x = 23,982,655.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.