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Finding the Third Proportional to 6,959,598 and 10,647,408

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Solution

The third proportional to 6,959,598 and 10,647,408 is: 16,289,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959,598 : 10,647,408 = 10,647,408 : x
  2. Step 2: Convert to fraction form
    6,959,598/10,647,408 = 10,647,408/x
  3. Step 3: Cross multiply
    6,959,598x = 10,647,408 × 10,647,408
  4. Step 4: Simplify right side
    6,959,598x = 113,367,297,118,464
  5. Step 5: Solve for x
    x = 113,367,297,118,464/6,959,598
  6. Step 6: Final answer
    x = 16,289,345.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.