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Finding the Third Proportional to 9,521,014 and 14,504,614

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Solution

The third proportional to 9,521,014 and 14,504,614 is: 22,096,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521,014 : 14,504,614 = 14,504,614 : x
  2. Step 2: Convert to fraction form
    9,521,014/14,504,614 = 14,504,614/x
  3. Step 3: Cross multiply
    9,521,014x = 14,504,614 × 14,504,614
  4. Step 4: Simplify right side
    9,521,014x = 210,383,827,288,996
  5. Step 5: Solve for x
    x = 210,383,827,288,996/9,521,014
  6. Step 6: Final answer
    x = 22,096,787.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.