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Finding the Third Proportional to 3,027,124 and 6,465,512

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Solution

The third proportional to 3,027,124 and 6,465,512 is: 13,809,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027,124 : 6,465,512 = 6,465,512 : x
  2. Step 2: Convert to fraction form
    3,027,124/6,465,512 = 6,465,512/x
  3. Step 3: Cross multiply
    3,027,124x = 6,465,512 × 6,465,512
  4. Step 4: Simplify right side
    3,027,124x = 41,802,845,422,144
  5. Step 5: Solve for x
    x = 41,802,845,422,144/3,027,124
  6. Step 6: Final answer
    x = 13,809,426.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.