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Finding the Third Proportional to 3,780,838 and 8,296,502

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Solution

The third proportional to 3,780,838 and 8,296,502 is: 18,205,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,838 : 8,296,502 = 8,296,502 : x
  2. Step 2: Convert to fraction form
    3,780,838/8,296,502 = 8,296,502/x
  3. Step 3: Cross multiply
    3,780,838x = 8,296,502 × 8,296,502
  4. Step 4: Simplify right side
    3,780,838x = 68,831,945,436,004
  5. Step 5: Solve for x
    x = 68,831,945,436,004/3,780,838
  6. Step 6: Final answer
    x = 18,205,473.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.