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Finding the Third Proportional to 6,856,000 and 13,089,920

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Solution

The third proportional to 6,856,000 and 13,089,920 is: 24,992,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856,000 : 13,089,920 = 13,089,920 : x
  2. Step 2: Convert to fraction form
    6,856,000/13,089,920 = 13,089,920/x
  3. Step 3: Cross multiply
    6,856,000x = 13,089,920 × 13,089,920
  4. Step 4: Simplify right side
    6,856,000x = 171,346,005,606,400
  5. Step 5: Solve for x
    x = 171,346,005,606,400/6,856,000
  6. Step 6: Final answer
    x = 24,992,124.51

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.