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Finding the Third Proportional to 5,347,296 and 8,778,096

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Solution

The third proportional to 5,347,296 and 8,778,096 is: 14,410,081.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,296 : 8,778,096 = 8,778,096 : x
  2. Step 2: Convert to fraction form
    5,347,296/8,778,096 = 8,778,096/x
  3. Step 3: Cross multiply
    5,347,296x = 8,778,096 × 8,778,096
  4. Step 4: Simplify right side
    5,347,296x = 77,054,969,385,216
  5. Step 5: Solve for x
    x = 77,054,969,385,216/5,347,296
  6. Step 6: Final answer
    x = 14,410,081.17

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.