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Finding the Third Proportional to 3,838,896 and 8,400,960

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Solution

The third proportional to 3,838,896 and 8,400,960 is: 18,384,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,896 : 8,400,960 = 8,400,960 : x
  2. Step 2: Convert to fraction form
    3,838,896/8,400,960 = 8,400,960/x
  3. Step 3: Cross multiply
    3,838,896x = 8,400,960 × 8,400,960
  4. Step 4: Simplify right side
    3,838,896x = 70,576,128,921,600
  5. Step 5: Solve for x
    x = 70,576,128,921,600/3,838,896
  6. Step 6: Final answer
    x = 18,384,485.78

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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.