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Finding the Third Proportional to 9,283,221 and 13,942,368

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Solution

The third proportional to 9,283,221 and 13,942,368 is: 20,939,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283,221 : 13,942,368 = 13,942,368 : x
  2. Step 2: Convert to fraction form
    9,283,221/13,942,368 = 13,942,368/x
  3. Step 3: Cross multiply
    9,283,221x = 13,942,368 × 13,942,368
  4. Step 4: Simplify right side
    9,283,221x = 194,389,625,447,424
  5. Step 5: Solve for x
    x = 194,389,625,447,424/9,283,221
  6. Step 6: Final answer
    x = 20,939,889.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.