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Finding the Third Proportional to 3,784,968 and 8,208,813.38

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Solution

The third proportional to 3,784,968 and 8,208,813.38 is: 17,803,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,968 : 8,208,813.38 = 8,208,813.38 : x
  2. Step 2: Convert to fraction form
    3,784,968/8,208,813.38 = 8,208,813.38/x
  3. Step 3: Cross multiply
    3,784,968x = 8,208,813.38 × 8,208,813.38
  4. Step 4: Simplify right side
    3,784,968x = 67,384,617,025,578.89
  5. Step 5: Solve for x
    x = 67,384,617,025,578.89/3,784,968
  6. Step 6: Final answer
    x = 17,803,219.74

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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.