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Finding the Third Proportional to 3,410,011.41 and 7,387,599.38

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Solution

The third proportional to 3,410,011.41 and 7,387,599.38 is: 16,004,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,011.41 : 7,387,599.38 = 7,387,599.38 : x
  2. Step 2: Convert to fraction form
    3,410,011.41/7,387,599.38 = 7,387,599.38/x
  3. Step 3: Cross multiply
    3,410,011.41x = 7,387,599.38 × 7,387,599.38
  4. Step 4: Simplify right side
    3,410,011.41x = 54,576,624,525,500.39
  5. Step 5: Solve for x
    x = 54,576,624,525,500.39/3,410,011.41
  6. Step 6: Final answer
    x = 16,004,821.69

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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.