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Finding the Third Proportional to 7,874,674 and 12,336,889

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Solution

The third proportional to 7,874,674 and 12,336,889 is: 19,327,635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,674 : 12,336,889 = 12,336,889 : x
  2. Step 2: Convert to fraction form
    7,874,674/12,336,889 = 12,336,889/x
  3. Step 3: Cross multiply
    7,874,674x = 12,336,889 × 12,336,889
  4. Step 4: Simplify right side
    7,874,674x = 152,198,830,198,321
  5. Step 5: Solve for x
    x = 152,198,830,198,321/7,874,674
  6. Step 6: Final answer
    x = 19,327,635.68

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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.