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Finding the Third Proportional to 10,824,940.50 and 23,555,557.50

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Solution

The third proportional to 10,824,940.50 and 23,555,557.50 is: 51,257,952.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824,940.50 : 23,555,557.50 = 23,555,557.50 : x
  2. Step 2: Convert to fraction form
    10,824,940.50/23,555,557.50 = 23,555,557.50/x
  3. Step 3: Cross multiply
    10,824,940.50x = 23,555,557.50 × 23,555,557.50
  4. Step 4: Simplify right side
    10,824,940.50x = 554,864,289,135,806.25
  5. Step 5: Solve for x
    x = 554,864,289,135,806.25/10,824,940.50
  6. Step 6: Final answer
    x = 51,257,952.79

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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.