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Finding the Third Proportional to 3,086,145 and 6,783,151

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Solution

The third proportional to 3,086,145 and 6,783,151 is: 14,908,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086,145 : 6,783,151 = 6,783,151 : x
  2. Step 2: Convert to fraction form
    3,086,145/6,783,151 = 6,783,151/x
  3. Step 3: Cross multiply
    3,086,145x = 6,783,151 × 6,783,151
  4. Step 4: Simplify right side
    3,086,145x = 46,011,137,488,801
  5. Step 5: Solve for x
    x = 46,011,137,488,801/3,086,145
  6. Step 6: Final answer
    x = 14,908,935.74

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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.