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Finding the Third Proportional to 3,444,787.50 and 8,046,020.25

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Solution

The third proportional to 3,444,787.50 and 8,046,020.25 is: 18,793,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444,787.50 : 8,046,020.25 = 8,046,020.25 : x
  2. Step 2: Convert to fraction form
    3,444,787.50/8,046,020.25 = 8,046,020.25/x
  3. Step 3: Cross multiply
    3,444,787.50x = 8,046,020.25 × 8,046,020.25
  4. Step 4: Simplify right side
    3,444,787.50x = 64,738,441,863,410.06
  5. Step 5: Solve for x
    x = 64,738,441,863,410.06/3,444,787.50
  6. Step 6: Final answer
    x = 18,793,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.