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Finding the Third Proportional to 4,407,847.50 and 6,811,242

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Solution

The third proportional to 4,407,847.50 and 6,811,242 is: 10,525,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407,847.50 : 6,811,242 = 6,811,242 : x
  2. Step 2: Convert to fraction form
    4,407,847.50/6,811,242 = 6,811,242/x
  3. Step 3: Cross multiply
    4,407,847.50x = 6,811,242 × 6,811,242
  4. Step 4: Simplify right side
    4,407,847.50x = 46,393,017,582,564
  5. Step 5: Solve for x
    x = 46,393,017,582,564/4,407,847.50
  6. Step 6: Final answer
    x = 10,525,095.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.