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Finding the Third Proportional to 3,182,679 and 6,512,433.75

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Solution

The third proportional to 3,182,679 and 6,512,433.75 is: 13,325,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182,679 : 6,512,433.75 = 6,512,433.75 : x
  2. Step 2: Convert to fraction form
    3,182,679/6,512,433.75 = 6,512,433.75/x
  3. Step 3: Cross multiply
    3,182,679x = 6,512,433.75 × 6,512,433.75
  4. Step 4: Simplify right side
    3,182,679x = 42,411,793,348,139.06
  5. Step 5: Solve for x
    x = 42,411,793,348,139.06/3,182,679
  6. Step 6: Final answer
    x = 13,325,815.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.