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Finding the Third Proportional to 7,874,692 and 12,336,918

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Solution

The third proportional to 7,874,692 and 12,336,918 is: 19,327,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,692 : 12,336,918 = 12,336,918 : x
  2. Step 2: Convert to fraction form
    7,874,692/12,336,918 = 12,336,918/x
  3. Step 3: Cross multiply
    7,874,692x = 12,336,918 × 12,336,918
  4. Step 4: Simplify right side
    7,874,692x = 152,199,545,738,724
  5. Step 5: Solve for x
    x = 152,199,545,738,724/7,874,692
  6. Step 6: Final answer
    x = 19,327,682.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.