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Finding the Third Proportional to 7,819,800 and 11,449,764

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Solution

The third proportional to 7,819,800 and 11,449,764 is: 16,764,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819,800 : 11,449,764 = 11,449,764 : x
  2. Step 2: Convert to fraction form
    7,819,800/11,449,764 = 11,449,764/x
  3. Step 3: Cross multiply
    7,819,800x = 11,449,764 × 11,449,764
  4. Step 4: Simplify right side
    7,819,800x = 131,097,095,655,696
  5. Step 5: Solve for x
    x = 131,097,095,655,696/7,819,800
  6. Step 6: Final answer
    x = 16,764,763.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.