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Finding the Third Proportional to 11,525,049.56 and 24,684,076.69

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Solution

The third proportional to 11,525,049.56 and 24,684,076.69 is: 52,867,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525,049.56 : 24,684,076.69 = 24,684,076.69 : x
  2. Step 2: Convert to fraction form
    11,525,049.56/24,684,076.69 = 24,684,076.69/x
  3. Step 3: Cross multiply
    11,525,049.56x = 24,684,076.69 × 24,684,076.69
  4. Step 4: Simplify right side
    11,525,049.56x = 609,303,641,914,381
  5. Step 5: Solve for x
    x = 609,303,641,914,381/11,525,049.56
  6. Step 6: Final answer
    x = 52,867,767.61

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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.