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Finding the Third Proportional to 13,823,086 and 30,714,236

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Solution

The third proportional to 13,823,086 and 30,714,236 is: 68,245,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823,086 : 30,714,236 = 30,714,236 : x
  2. Step 2: Convert to fraction form
    13,823,086/30,714,236 = 30,714,236/x
  3. Step 3: Cross multiply
    13,823,086x = 30,714,236 × 30,714,236
  4. Step 4: Simplify right side
    13,823,086x = 943,364,293,063,696
  5. Step 5: Solve for x
    x = 943,364,293,063,696/13,823,086
  6. Step 6: Final answer
    x = 68,245,563.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.