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Finding the Third Proportional to 8,355,870 and 11,274,045

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Solution

The third proportional to 8,355,870 and 11,274,045 is: 15,211,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355,870 : 11,274,045 = 11,274,045 : x
  2. Step 2: Convert to fraction form
    8,355,870/11,274,045 = 11,274,045/x
  3. Step 3: Cross multiply
    8,355,870x = 11,274,045 × 11,274,045
  4. Step 4: Simplify right side
    8,355,870x = 127,104,090,662,025
  5. Step 5: Solve for x
    x = 127,104,090,662,025/8,355,870
  6. Step 6: Final answer
    x = 15,211,353.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.