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Finding the Third Proportional to 3,838,720 and 8,208,800

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Solution

The third proportional to 3,838,720 and 8,208,800 is: 17,553,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838,720 : 8,208,800 = 8,208,800 : x
  2. Step 2: Convert to fraction form
    3,838,720/8,208,800 = 8,208,800/x
  3. Step 3: Cross multiply
    3,838,720x = 8,208,800 × 8,208,800
  4. Step 4: Simplify right side
    3,838,720x = 67,384,397,440,000
  5. Step 5: Solve for x
    x = 67,384,397,440,000/3,838,720
  6. Step 6: Final answer
    x = 17,553,871.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.