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Finding the Third Proportional to 3,736,542.78 and 7,771,299.72

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Solution

The third proportional to 3,736,542.78 and 7,771,299.72 is: 16,162,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736,542.78 : 7,771,299.72 = 7,771,299.72 : x
  2. Step 2: Convert to fraction form
    3,736,542.78/7,771,299.72 = 7,771,299.72/x
  3. Step 3: Cross multiply
    3,736,542.78x = 7,771,299.72 × 7,771,299.72
  4. Step 4: Simplify right side
    3,736,542.78x = 60,393,099,318,643.83
  5. Step 5: Solve for x
    x = 60,393,099,318,643.83/3,736,542.78
  6. Step 6: Final answer
    x = 16,162,828.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.