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Finding the Third Proportional to 6,361,443 and 13,731,640

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Solution

The third proportional to 6,361,443 and 13,731,640 is: 29,640,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361,443 : 13,731,640 = 13,731,640 : x
  2. Step 2: Convert to fraction form
    6,361,443/13,731,640 = 13,731,640/x
  3. Step 3: Cross multiply
    6,361,443x = 13,731,640 × 13,731,640
  4. Step 4: Simplify right side
    6,361,443x = 188,557,937,089,600
  5. Step 5: Solve for x
    x = 188,557,937,089,600/6,361,443
  6. Step 6: Final answer
    x = 29,640,749.29

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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.