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Finding the Third Proportional to 5,467,970 and 8,157,603

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Solution

The third proportional to 5,467,970 and 8,157,603 is: 12,170,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467,970 : 8,157,603 = 8,157,603 : x
  2. Step 2: Convert to fraction form
    5,467,970/8,157,603 = 8,157,603/x
  3. Step 3: Cross multiply
    5,467,970x = 8,157,603 × 8,157,603
  4. Step 4: Simplify right side
    5,467,970x = 66,546,486,705,609
  5. Step 5: Solve for x
    x = 66,546,486,705,609/5,467,970
  6. Step 6: Final answer
    x = 12,170,236.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.