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Finding the Third Proportional to 13,863,036 and 30,913,614

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Solution

The third proportional to 13,863,036 and 30,913,614 is: 68,935,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863,036 : 30,913,614 = 30,913,614 : x
  2. Step 2: Convert to fraction form
    13,863,036/30,913,614 = 30,913,614/x
  3. Step 3: Cross multiply
    13,863,036x = 30,913,614 × 30,913,614
  4. Step 4: Simplify right side
    13,863,036x = 955,651,530,540,996
  5. Step 5: Solve for x
    x = 955,651,530,540,996/13,863,036
  6. Step 6: Final answer
    x = 68,935,226.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.