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Finding the Third Proportional to 8,260,740 and 11,612,400

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Solution

The third proportional to 8,260,740 and 11,612,400 is: 16,323,941.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,740 : 11,612,400 = 11,612,400 : x
  2. Step 2: Convert to fraction form
    8,260,740/11,612,400 = 11,612,400/x
  3. Step 3: Cross multiply
    8,260,740x = 11,612,400 × 11,612,400
  4. Step 4: Simplify right side
    8,260,740x = 134,847,833,760,000
  5. Step 5: Solve for x
    x = 134,847,833,760,000/8,260,740
  6. Step 6: Final answer
    x = 16,323,941.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.