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Finding the Third Proportional to 6,361,449 and 13,731,652

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Solution

The third proportional to 6,361,449 and 13,731,652 is: 29,640,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361,449 : 13,731,652 = 13,731,652 : x
  2. Step 2: Convert to fraction form
    6,361,449/13,731,652 = 13,731,652/x
  3. Step 3: Cross multiply
    6,361,449x = 13,731,652 × 13,731,652
  4. Step 4: Simplify right side
    6,361,449x = 188,558,266,649,104
  5. Step 5: Solve for x
    x = 188,558,266,649,104/6,361,449
  6. Step 6: Final answer
    x = 29,640,773.14

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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.