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Finding the Third Proportional to 6,307,224 and 13,835,268

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Solution

The third proportional to 6,307,224 and 13,835,268 is: 30,348,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,224 : 13,835,268 = 13,835,268 : x
  2. Step 2: Convert to fraction form
    6,307,224/13,835,268 = 13,835,268/x
  3. Step 3: Cross multiply
    6,307,224x = 13,835,268 × 13,835,268
  4. Step 4: Simplify right side
    6,307,224x = 191,414,640,631,824
  5. Step 5: Solve for x
    x = 191,414,640,631,824/6,307,224
  6. Step 6: Final answer
    x = 30,348,476.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.