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Finding the Third Proportional to 12,971,340 and 30,025,512

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Solution

The third proportional to 12,971,340 and 30,025,512 is: 69,501,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971,340 : 30,025,512 = 30,025,512 : x
  2. Step 2: Convert to fraction form
    12,971,340/30,025,512 = 30,025,512/x
  3. Step 3: Cross multiply
    12,971,340x = 30,025,512 × 30,025,512
  4. Step 4: Simplify right side
    12,971,340x = 901,531,370,862,144
  5. Step 5: Solve for x
    x = 901,531,370,862,144/12,971,340
  6. Step 6: Final answer
    x = 69,501,791.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.