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Finding the Third Proportional to 4,089,566 and 8,602,193

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Solution

The third proportional to 4,089,566 and 8,602,193 is: 18,094,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,566 : 8,602,193 = 8,602,193 : x
  2. Step 2: Convert to fraction form
    4,089,566/8,602,193 = 8,602,193/x
  3. Step 3: Cross multiply
    4,089,566x = 8,602,193 × 8,602,193
  4. Step 4: Simplify right side
    4,089,566x = 73,997,724,409,249
  5. Step 5: Solve for x
    x = 73,997,724,409,249/4,089,566
  6. Step 6: Final answer
    x = 18,094,273.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.