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Finding the Third Proportional to 3,256,593.75 and 6,961,361.63

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Solution

The third proportional to 3,256,593.75 and 6,961,361.63 is: 14,880,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,593.75 : 6,961,361.63 = 6,961,361.63 : x
  2. Step 2: Convert to fraction form
    3,256,593.75/6,961,361.63 = 6,961,361.63/x
  3. Step 3: Cross multiply
    3,256,593.75x = 6,961,361.63 × 6,961,361.63
  4. Step 4: Simplify right side
    3,256,593.75x = 48,460,555,674,022.64
  5. Step 5: Solve for x
    x = 48,460,555,674,022.64/3,256,593.75
  6. Step 6: Final answer
    x = 14,880,749.46

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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.