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Finding the Third Proportional to 8,414,248 and 18,420,608

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Solution

The third proportional to 8,414,248 and 18,420,608 is: 40,326,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414,248 : 18,420,608 = 18,420,608 : x
  2. Step 2: Convert to fraction form
    8,414,248/18,420,608 = 18,420,608/x
  3. Step 3: Cross multiply
    8,414,248x = 18,420,608 × 18,420,608
  4. Step 4: Simplify right side
    8,414,248x = 339,318,799,089,664
  5. Step 5: Solve for x
    x = 339,318,799,089,664/8,414,248
  6. Step 6: Final answer
    x = 40,326,693.38

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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.