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Finding the Third Proportional to 8,217,936 and 12,774,512

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Solution

The third proportional to 8,217,936 and 12,774,512 is: 19,857,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217,936 : 12,774,512 = 12,774,512 : x
  2. Step 2: Convert to fraction form
    8,217,936/12,774,512 = 12,774,512/x
  3. Step 3: Cross multiply
    8,217,936x = 12,774,512 × 12,774,512
  4. Step 4: Simplify right side
    8,217,936x = 163,188,156,838,144
  5. Step 5: Solve for x
    x = 163,188,156,838,144/8,217,936
  6. Step 6: Final answer
    x = 19,857,559.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.