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Finding the Third Proportional to 8,195,706 and 12,416,073

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Solution

The third proportional to 8,195,706 and 12,416,073 is: 18,809,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195,706 : 12,416,073 = 12,416,073 : x
  2. Step 2: Convert to fraction form
    8,195,706/12,416,073 = 12,416,073/x
  3. Step 3: Cross multiply
    8,195,706x = 12,416,073 × 12,416,073
  4. Step 4: Simplify right side
    8,195,706x = 154,158,868,741,329
  5. Step 5: Solve for x
    x = 154,158,868,741,329/8,195,706
  6. Step 6: Final answer
    x = 18,809,711.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.