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Finding the Third Proportional to 4,674,100.50 and 6,992,467.50

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Solution

The third proportional to 4,674,100.50 and 6,992,467.50 is: 10,460,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,100.50 : 6,992,467.50 = 6,992,467.50 : x
  2. Step 2: Convert to fraction form
    4,674,100.50/6,992,467.50 = 6,992,467.50/x
  3. Step 3: Cross multiply
    4,674,100.50x = 6,992,467.50 × 6,992,467.50
  4. Step 4: Simplify right side
    4,674,100.50x = 48,894,601,738,556.25
  5. Step 5: Solve for x
    x = 48,894,601,738,556.25/4,674,100.50
  6. Step 6: Final answer
    x = 10,460,751.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.