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Finding the Third Proportional to 3,782,745 and 8,208,495

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Solution

The third proportional to 3,782,745 and 8,208,495 is: 17,812,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,745 : 8,208,495 = 8,208,495 : x
  2. Step 2: Convert to fraction form
    3,782,745/8,208,495 = 8,208,495/x
  3. Step 3: Cross multiply
    3,782,745x = 8,208,495 × 8,208,495
  4. Step 4: Simplify right side
    3,782,745x = 67,379,390,165,025
  5. Step 5: Solve for x
    x = 67,379,390,165,025/3,782,745
  6. Step 6: Final answer
    x = 17,812,300.37

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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.