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Finding the Third Proportional to 4,099,490.16 and 8,971,234.31

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Solution

The third proportional to 4,099,490.16 and 8,971,234.31 is: 19,632,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,490.16 : 8,971,234.31 = 8,971,234.31 : x
  2. Step 2: Convert to fraction form
    4,099,490.16/8,971,234.31 = 8,971,234.31/x
  3. Step 3: Cross multiply
    4,099,490.16x = 8,971,234.31 × 8,971,234.31
  4. Step 4: Simplify right side
    4,099,490.16x = 80,483,045,089,777.34
  5. Step 5: Solve for x
    x = 80,483,045,089,777.34/4,099,490.16
  6. Step 6: Final answer
    x = 19,632,452.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.