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Finding the Third Proportional to 8,219,008 and 10,905,696

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Solution

The third proportional to 8,219,008 and 10,905,696 is: 14,470,627.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219,008 : 10,905,696 = 10,905,696 : x
  2. Step 2: Convert to fraction form
    8,219,008/10,905,696 = 10,905,696/x
  3. Step 3: Cross multiply
    8,219,008x = 10,905,696 × 10,905,696
  4. Step 4: Simplify right side
    8,219,008x = 118,934,205,244,416
  5. Step 5: Solve for x
    x = 118,934,205,244,416/8,219,008
  6. Step 6: Final answer
    x = 14,470,627.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.