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Finding the Third Proportional to 7,903,296 and 11,917,200

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Solution

The third proportional to 7,903,296 and 11,917,200 is: 17,969,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903,296 : 11,917,200 = 11,917,200 : x
  2. Step 2: Convert to fraction form
    7,903,296/11,917,200 = 11,917,200/x
  3. Step 3: Cross multiply
    7,903,296x = 11,917,200 × 11,917,200
  4. Step 4: Simplify right side
    7,903,296x = 142,019,655,840,000
  5. Step 5: Solve for x
    x = 142,019,655,840,000/7,903,296
  6. Step 6: Final answer
    x = 17,969,674.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.