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Finding the Third Proportional to 5,229,537.75 and 11,299,369.50

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Solution

The third proportional to 5,229,537.75 and 11,299,369.50 is: 24,414,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229,537.75 : 11,299,369.50 = 11,299,369.50 : x
  2. Step 2: Convert to fraction form
    5,229,537.75/11,299,369.50 = 11,299,369.50/x
  3. Step 3: Cross multiply
    5,229,537.75x = 11,299,369.50 × 11,299,369.50
  4. Step 4: Simplify right side
    5,229,537.75x = 127,675,751,097,530.25
  5. Step 5: Solve for x
    x = 127,675,751,097,530.25/5,229,537.75
  6. Step 6: Final answer
    x = 24,414,347.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.