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Finding the Third Proportional to 11,984,274 and 16,957,390.50

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Solution

The third proportional to 11,984,274 and 16,957,390.50 is: 23,994,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984,274 : 16,957,390.50 = 16,957,390.50 : x
  2. Step 2: Convert to fraction form
    11,984,274/16,957,390.50 = 16,957,390.50/x
  3. Step 3: Cross multiply
    11,984,274x = 16,957,390.50 × 16,957,390.50
  4. Step 4: Simplify right side
    11,984,274x = 287,553,092,569,490.25
  5. Step 5: Solve for x
    x = 287,553,092,569,490.25/11,984,274
  6. Step 6: Final answer
    x = 23,994,202.12

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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.