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Finding the Third Proportional to 6,265,440 and 13,741,340

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Solution

The third proportional to 6,265,440 and 13,741,340 is: 30,137,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265,440 : 13,741,340 = 13,741,340 : x
  2. Step 2: Convert to fraction form
    6,265,440/13,741,340 = 13,741,340/x
  3. Step 3: Cross multiply
    6,265,440x = 13,741,340 × 13,741,340
  4. Step 4: Simplify right side
    6,265,440x = 188,824,424,995,600
  5. Step 5: Solve for x
    x = 188,824,424,995,600/6,265,440
  6. Step 6: Final answer
    x = 30,137,456.43

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