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Finding the Third Proportional to 9,145,638 and 13,374,962

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Solution

The third proportional to 9,145,638 and 13,374,962 is: 19,560,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145,638 : 13,374,962 = 13,374,962 : x
  2. Step 2: Convert to fraction form
    9,145,638/13,374,962 = 13,374,962/x
  3. Step 3: Cross multiply
    9,145,638x = 13,374,962 × 13,374,962
  4. Step 4: Simplify right side
    9,145,638x = 178,889,608,501,444
  5. Step 5: Solve for x
    x = 178,889,608,501,444/9,145,638
  6. Step 6: Final answer
    x = 19,560,101.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.