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Finding the Third Proportional to 12,056,928 and 16,864,764

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Solution

The third proportional to 12,056,928 and 16,864,764 is: 23,589,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056,928 : 16,864,764 = 16,864,764 : x
  2. Step 2: Convert to fraction form
    12,056,928/16,864,764 = 16,864,764/x
  3. Step 3: Cross multiply
    12,056,928x = 16,864,764 × 16,864,764
  4. Step 4: Simplify right side
    12,056,928x = 284,420,264,775,696
  5. Step 5: Solve for x
    x = 284,420,264,775,696/12,056,928
  6. Step 6: Final answer
    x = 23,589,778.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.