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Finding the Third Proportional to 12,298,523.50 and 28,471,686

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Solution

The third proportional to 12,298,523.50 and 28,471,686 is: 65,913,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298,523.50 : 28,471,686 = 28,471,686 : x
  2. Step 2: Convert to fraction form
    12,298,523.50/28,471,686 = 28,471,686/x
  3. Step 3: Cross multiply
    12,298,523.50x = 28,471,686 × 28,471,686
  4. Step 4: Simplify right side
    12,298,523.50x = 810,636,903,682,596
  5. Step 5: Solve for x
    x = 810,636,903,682,596/12,298,523.50
  6. Step 6: Final answer
    x = 65,913,351.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.