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Finding the Third Proportional to 3,106,178 and 6,644,168

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Solution

The third proportional to 3,106,178 and 6,644,168 is: 14,211,989.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,178 : 6,644,168 = 6,644,168 : x
  2. Step 2: Convert to fraction form
    3,106,178/6,644,168 = 6,644,168/x
  3. Step 3: Cross multiply
    3,106,178x = 6,644,168 × 6,644,168
  4. Step 4: Simplify right side
    3,106,178x = 44,144,968,412,224
  5. Step 5: Solve for x
    x = 44,144,968,412,224/3,106,178
  6. Step 6: Final answer
    x = 14,211,989.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.