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Finding the Third Proportional to 3,257,440 and 6,947,716

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Solution

The third proportional to 3,257,440 and 6,947,716 is: 14,818,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,440 : 6,947,716 = 6,947,716 : x
  2. Step 2: Convert to fraction form
    3,257,440/6,947,716 = 6,947,716/x
  3. Step 3: Cross multiply
    3,257,440x = 6,947,716 × 6,947,716
  4. Step 4: Simplify right side
    3,257,440x = 48,270,757,616,656
  5. Step 5: Solve for x
    x = 48,270,757,616,656/3,257,440
  6. Step 6: Final answer
    x = 14,818,617.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.