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Finding the Third Proportional to 8,999,968 and 13,939,314

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Solution

The third proportional to 8,999,968 and 13,939,314 is: 21,589,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999,968 : 13,939,314 = 13,939,314 : x
  2. Step 2: Convert to fraction form
    8,999,968/13,939,314 = 13,939,314/x
  3. Step 3: Cross multiply
    8,999,968x = 13,939,314 × 13,939,314
  4. Step 4: Simplify right side
    8,999,968x = 194,304,474,790,596
  5. Step 5: Solve for x
    x = 194,304,474,790,596/8,999,968
  6. Step 6: Final answer
    x = 21,589,462.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.