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Finding the Third Proportional to 6,307,794 and 9,586,350

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Solution

The third proportional to 6,307,794 and 9,586,350 is: 14,568,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307,794 : 9,586,350 = 9,586,350 : x
  2. Step 2: Convert to fraction form
    6,307,794/9,586,350 = 9,586,350/x
  3. Step 3: Cross multiply
    6,307,794x = 9,586,350 × 9,586,350
  4. Step 4: Simplify right side
    6,307,794x = 91,898,106,322,500
  5. Step 5: Solve for x
    x = 91,898,106,322,500/6,307,794
  6. Step 6: Final answer
    x = 14,568,977.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.