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Finding the Third Proportional to 8,193,976 and 11,803,752

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Solution

The third proportional to 8,193,976 and 11,803,752 is: 17,003,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193,976 : 11,803,752 = 11,803,752 : x
  2. Step 2: Convert to fraction form
    8,193,976/11,803,752 = 11,803,752/x
  3. Step 3: Cross multiply
    8,193,976x = 11,803,752 × 11,803,752
  4. Step 4: Simplify right side
    8,193,976x = 139,328,561,277,504
  5. Step 5: Solve for x
    x = 139,328,561,277,504/8,193,976
  6. Step 6: Final answer
    x = 17,003,779.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.