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Finding the Third Proportional to 14,560,953 and 31,597,050

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Solution

The third proportional to 14,560,953 and 31,597,050 is: 68,565,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560,953 : 31,597,050 = 31,597,050 : x
  2. Step 2: Convert to fraction form
    14,560,953/31,597,050 = 31,597,050/x
  3. Step 3: Cross multiply
    14,560,953x = 31,597,050 × 31,597,050
  4. Step 4: Simplify right side
    14,560,953x = 998,373,568,702,500
  5. Step 5: Solve for x
    x = 998,373,568,702,500/14,560,953
  6. Step 6: Final answer
    x = 68,565,125.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.