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Finding the Third Proportional to 6,275,824 and 13,546,976

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Solution

The third proportional to 6,275,824 and 13,546,976 is: 29,242,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275,824 : 13,546,976 = 13,546,976 : x
  2. Step 2: Convert to fraction form
    6,275,824/13,546,976 = 13,546,976/x
  3. Step 3: Cross multiply
    6,275,824x = 13,546,976 × 13,546,976
  4. Step 4: Simplify right side
    6,275,824x = 183,520,558,744,576
  5. Step 5: Solve for x
    x = 183,520,558,744,576/6,275,824
  6. Step 6: Final answer
    x = 29,242,464.22

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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.