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Finding the Third Proportional to 8,213,737.92 and 12,768,624.84

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Solution

The third proportional to 8,213,737.92 and 12,768,624.84 is: 19,849,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213,737.92 : 12,768,624.84 = 12,768,624.84 : x
  2. Step 2: Convert to fraction form
    8,213,737.92/12,768,624.84 = 12,768,624.84/x
  3. Step 3: Cross multiply
    8,213,737.92x = 12,768,624.84 × 12,768,624.84
  4. Step 4: Simplify right side
    8,213,737.92x = 163,037,780,400,429.72
  5. Step 5: Solve for x
    x = 163,037,780,400,429.72/8,213,737.92
  6. Step 6: Final answer
    x = 19,849,401.33

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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.