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Finding the Third Proportional to 4,194,787.50 and 6,477,628.22

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Solution

The third proportional to 4,194,787.50 and 6,477,628.22 is: 10,002,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194,787.50 : 6,477,628.22 = 6,477,628.22 : x
  2. Step 2: Convert to fraction form
    4,194,787.50/6,477,628.22 = 6,477,628.22/x
  3. Step 3: Cross multiply
    4,194,787.50x = 6,477,628.22 × 6,477,628.22
  4. Step 4: Simplify right side
    4,194,787.50x = 41,959,667,340,346.30
  5. Step 5: Solve for x
    x = 41,959,667,340,346.30/4,194,787.50
  6. Step 6: Final answer
    x = 10,002,811.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.