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Finding the Third Proportional to 3,066,265.13 and 6,640,324.31

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Solution

The third proportional to 3,066,265.13 and 6,640,324.31 is: 14,380,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066,265.13 : 6,640,324.31 = 6,640,324.31 : x
  2. Step 2: Convert to fraction form
    3,066,265.13/6,640,324.31 = 6,640,324.31/x
  3. Step 3: Cross multiply
    3,066,265.13x = 6,640,324.31 × 6,640,324.31
  4. Step 4: Simplify right side
    3,066,265.13x = 44,093,906,975,178.59
  5. Step 5: Solve for x
    x = 44,093,906,975,178.59/3,066,265.13
  6. Step 6: Final answer
    x = 14,380,330.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.