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Finding the Third Proportional to 6,782,636 and 14,743,336

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Solution

The third proportional to 6,782,636 and 14,743,336 is: 32,047,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,636 : 14,743,336 = 14,743,336 : x
  2. Step 2: Convert to fraction form
    6,782,636/14,743,336 = 14,743,336/x
  3. Step 3: Cross multiply
    6,782,636x = 14,743,336 × 14,743,336
  4. Step 4: Simplify right side
    6,782,636x = 217,365,956,408,896
  5. Step 5: Solve for x
    x = 217,365,956,408,896/6,782,636
  6. Step 6: Final answer
    x = 32,047,415.84

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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.