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Finding the Third Proportional to 3,086,143 and 6,783,147

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Solution

The third proportional to 3,086,143 and 6,783,147 is: 14,908,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,143 : 6,783,147 = 6,783,147 : x
  2. Step 2: Convert to fraction form
    3,086,143/6,783,147 = 6,783,147/x
  3. Step 3: Cross multiply
    3,086,143x = 6,783,147 × 6,783,147
  4. Step 4: Simplify right side
    3,086,143x = 46,011,083,223,609
  5. Step 5: Solve for x
    x = 46,011,083,223,609/3,086,143
  6. Step 6: Final answer
    x = 14,908,927.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.