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Finding the Third Proportional to 11,538,136 and 24,620,596

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Solution

The third proportional to 11,538,136 and 24,620,596 is: 52,536,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538,136 : 24,620,596 = 24,620,596 : x
  2. Step 2: Convert to fraction form
    11,538,136/24,620,596 = 24,620,596/x
  3. Step 3: Cross multiply
    11,538,136x = 24,620,596 × 24,620,596
  4. Step 4: Simplify right side
    11,538,136x = 606,173,747,395,216
  5. Step 5: Solve for x
    x = 606,173,747,395,216/11,538,136
  6. Step 6: Final answer
    x = 52,536,540.34

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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.