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Finding the Third Proportional to 9,656,950 and 14,486,578

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Solution

The third proportional to 9,656,950 and 14,486,578 is: 21,731,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,950 : 14,486,578 = 14,486,578 : x
  2. Step 2: Convert to fraction form
    9,656,950/14,486,578 = 14,486,578/x
  3. Step 3: Cross multiply
    9,656,950x = 14,486,578 × 14,486,578
  4. Step 4: Simplify right side
    9,656,950x = 209,860,942,150,084
  5. Step 5: Solve for x
    x = 209,860,942,150,084/9,656,950
  6. Step 6: Final answer
    x = 21,731,596.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.