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Finding the Third Proportional to 14,560,965 and 31,597,074

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Solution

The third proportional to 14,560,965 and 31,597,074 is: 68,565,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560,965 : 31,597,074 = 31,597,074 : x
  2. Step 2: Convert to fraction form
    14,560,965/31,597,074 = 31,597,074/x
  3. Step 3: Cross multiply
    14,560,965x = 31,597,074 × 31,597,074
  4. Step 4: Simplify right side
    14,560,965x = 998,375,085,361,476
  5. Step 5: Solve for x
    x = 998,375,085,361,476/14,560,965
  6. Step 6: Final answer
    x = 68,565,173.07

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