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Finding the Third Proportional to 6,892,706 and 11,447,907

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Solution

The third proportional to 6,892,706 and 11,447,907 is: 19,013,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892,706 : 11,447,907 = 11,447,907 : x
  2. Step 2: Convert to fraction form
    6,892,706/11,447,907 = 11,447,907/x
  3. Step 3: Cross multiply
    6,892,706x = 11,447,907 × 11,447,907
  4. Step 4: Simplify right side
    6,892,706x = 131,054,574,680,649
  5. Step 5: Solve for x
    x = 131,054,574,680,649/6,892,706
  6. Step 6: Final answer
    x = 19,013,515.84

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.