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Finding the Third Proportional to 6,441,268 and 14,040,008

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Solution

The third proportional to 6,441,268 and 14,040,008 is: 30,602,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441,268 : 14,040,008 = 14,040,008 : x
  2. Step 2: Convert to fraction form
    6,441,268/14,040,008 = 14,040,008/x
  3. Step 3: Cross multiply
    6,441,268x = 14,040,008 × 14,040,008
  4. Step 4: Simplify right side
    6,441,268x = 197,121,824,640,064
  5. Step 5: Solve for x
    x = 197,121,824,640,064/6,441,268
  6. Step 6: Final answer
    x = 30,602,953.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.