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Finding the Third Proportional to 3,305,886.75 and 5,108,433.19

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Solution

The third proportional to 3,305,886.75 and 5,108,433.19 is: 7,893,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305,886.75 : 5,108,433.19 = 5,108,433.19 : x
  2. Step 2: Convert to fraction form
    3,305,886.75/5,108,433.19 = 5,108,433.19/x
  3. Step 3: Cross multiply
    3,305,886.75x = 5,108,433.19 × 5,108,433.19
  4. Step 4: Simplify right side
    3,305,886.75x = 26,096,089,631,151.41
  5. Step 5: Solve for x
    x = 26,096,089,631,151.41/3,305,886.75
  6. Step 6: Final answer
    x = 7,893,824.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.