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Finding the Third Proportional to 6,426,728 and 13,386,112

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Solution

The third proportional to 6,426,728 and 13,386,112 is: 27,881,683.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,728 : 13,386,112 = 13,386,112 : x
  2. Step 2: Convert to fraction form
    6,426,728/13,386,112 = 13,386,112/x
  3. Step 3: Cross multiply
    6,426,728x = 13,386,112 × 13,386,112
  4. Step 4: Simplify right side
    6,426,728x = 179,187,994,476,544
  5. Step 5: Solve for x
    x = 179,187,994,476,544/6,426,728
  6. Step 6: Final answer
    x = 27,881,683.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.