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Finding the Third Proportional to 5,319,678 and 8,424,876

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Solution

The third proportional to 5,319,678 and 8,424,876 is: 13,342,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319,678 : 8,424,876 = 8,424,876 : x
  2. Step 2: Convert to fraction form
    5,319,678/8,424,876 = 8,424,876/x
  3. Step 3: Cross multiply
    5,319,678x = 8,424,876 × 8,424,876
  4. Step 4: Simplify right side
    5,319,678x = 70,978,535,615,376
  5. Step 5: Solve for x
    x = 70,978,535,615,376/5,319,678
  6. Step 6: Final answer
    x = 13,342,637.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.