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Finding the Third Proportional to 4,099,738 and 8,766,982

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Solution

The third proportional to 4,099,738 and 8,766,982 is: 18,747,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,738 : 8,766,982 = 8,766,982 : x
  2. Step 2: Convert to fraction form
    4,099,738/8,766,982 = 8,766,982/x
  3. Step 3: Cross multiply
    4,099,738x = 8,766,982 × 8,766,982
  4. Step 4: Simplify right side
    4,099,738x = 76,859,973,388,324
  5. Step 5: Solve for x
    x = 76,859,973,388,324/4,099,738
  6. Step 6: Final answer
    x = 18,747,532.99

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Why These Related Problems?

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