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Finding the Third Proportional to 8,294,137.70 and 12,441,210.82

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Solution

The third proportional to 8,294,137.70 and 12,441,210.82 is: 18,661,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294,137.70 : 12,441,210.82 = 12,441,210.82 : x
  2. Step 2: Convert to fraction form
    8,294,137.70/12,441,210.82 = 12,441,210.82/x
  3. Step 3: Cross multiply
    8,294,137.70x = 12,441,210.82 × 12,441,210.82
  4. Step 4: Simplify right side
    8,294,137.70x = 154,783,726,675,448.41
  5. Step 5: Solve for x
    x = 154,783,726,675,448.41/8,294,137.70
  6. Step 6: Final answer
    x = 18,661,822.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.