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Finding the Third Proportional to 3,081,034 and 6,649,223

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Solution

The third proportional to 3,081,034 and 6,649,223 is: 14,349,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081,034 : 6,649,223 = 6,649,223 : x
  2. Step 2: Convert to fraction form
    3,081,034/6,649,223 = 6,649,223/x
  3. Step 3: Cross multiply
    3,081,034x = 6,649,223 × 6,649,223
  4. Step 4: Simplify right side
    3,081,034x = 44,212,166,503,729
  5. Step 5: Solve for x
    x = 44,212,166,503,729/3,081,034
  6. Step 6: Final answer
    x = 14,349,782.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.