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Finding the Third Proportional to 5,783,055 and 12,701,205

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Solution

The third proportional to 5,783,055 and 12,701,205 is: 27,895,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783,055 : 12,701,205 = 12,701,205 : x
  2. Step 2: Convert to fraction form
    5,783,055/12,701,205 = 12,701,205/x
  3. Step 3: Cross multiply
    5,783,055x = 12,701,205 × 12,701,205
  4. Step 4: Simplify right side
    5,783,055x = 161,320,608,452,025
  5. Step 5: Solve for x
    x = 161,320,608,452,025/5,783,055
  6. Step 6: Final answer
    x = 27,895,395.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.