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Finding the Third Proportional to 3,256,908.75 and 6,961,074.19

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Solution

The third proportional to 3,256,908.75 and 6,961,074.19 is: 14,878,081.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,908.75 : 6,961,074.19 = 6,961,074.19 : x
  2. Step 2: Convert to fraction form
    3,256,908.75/6,961,074.19 = 6,961,074.19/x
  3. Step 3: Cross multiply
    3,256,908.75x = 6,961,074.19 × 6,961,074.19
  4. Step 4: Simplify right side
    3,256,908.75x = 48,456,553,843,878.78
  5. Step 5: Solve for x
    x = 48,456,553,843,878.78/3,256,908.75
  6. Step 6: Final answer
    x = 14,878,081.51

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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.