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Finding the Third Proportional to 7,669,525.50 and 16,711,947

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Solution

The third proportional to 7,669,525.50 and 16,711,947 is: 36,415,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,525.50 : 16,711,947 = 16,711,947 : x
  2. Step 2: Convert to fraction form
    7,669,525.50/16,711,947 = 16,711,947/x
  3. Step 3: Cross multiply
    7,669,525.50x = 16,711,947 × 16,711,947
  4. Step 4: Simplify right side
    7,669,525.50x = 279,289,172,530,809
  5. Step 5: Solve for x
    x = 279,289,172,530,809/7,669,525.50
  6. Step 6: Final answer
    x = 36,415,443.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.