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Finding the Third Proportional to 2,477,223 and 5,024,470.50

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Solution

The third proportional to 2,477,223 and 5,024,470.50 is: 10,190,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477,223 : 5,024,470.50 = 5,024,470.50 : x
  2. Step 2: Convert to fraction form
    2,477,223/5,024,470.50 = 5,024,470.50/x
  3. Step 3: Cross multiply
    2,477,223x = 5,024,470.50 × 5,024,470.50
  4. Step 4: Simplify right side
    2,477,223x = 25,245,303,805,370.25
  5. Step 5: Solve for x
    x = 25,245,303,805,370.25/2,477,223
  6. Step 6: Final answer
    x = 10,190,969.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.