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Finding the Third Proportional to 3,106,942 and 6,751,683

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Solution

The third proportional to 3,106,942 and 6,751,683 is: 14,672,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,942 : 6,751,683 = 6,751,683 : x
  2. Step 2: Convert to fraction form
    3,106,942/6,751,683 = 6,751,683/x
  3. Step 3: Cross multiply
    3,106,942x = 6,751,683 × 6,751,683
  4. Step 4: Simplify right side
    3,106,942x = 45,585,223,332,489
  5. Step 5: Solve for x
    x = 45,585,223,332,489/3,106,942
  6. Step 6: Final answer
    x = 14,672,054.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.