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Finding the Third Proportional to 11,157,124 and 15,711,414

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Solution

The third proportional to 11,157,124 and 15,711,414 is: 22,124,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157,124 : 15,711,414 = 15,711,414 : x
  2. Step 2: Convert to fraction form
    11,157,124/15,711,414 = 15,711,414/x
  3. Step 3: Cross multiply
    11,157,124x = 15,711,414 × 15,711,414
  4. Step 4: Simplify right side
    11,157,124x = 246,848,529,879,396
  5. Step 5: Solve for x
    x = 246,848,529,879,396/11,157,124
  6. Step 6: Final answer
    x = 22,124,745.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.