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Finding the Third Proportional to 8,670,734 and 12,199,512

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Solution

The third proportional to 8,670,734 and 12,199,512 is: 17,164,416.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670,734 : 12,199,512 = 12,199,512 : x
  2. Step 2: Convert to fraction form
    8,670,734/12,199,512 = 12,199,512/x
  3. Step 3: Cross multiply
    8,670,734x = 12,199,512 × 12,199,512
  4. Step 4: Simplify right side
    8,670,734x = 148,828,093,038,144
  5. Step 5: Solve for x
    x = 148,828,093,038,144/8,670,734
  6. Step 6: Final answer
    x = 17,164,416.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.