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Finding the Third Proportional to 4,941,025.50 and 10,706,811

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Solution

The third proportional to 4,941,025.50 and 10,706,811 is: 23,200,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941,025.50 : 10,706,811 = 10,706,811 : x
  2. Step 2: Convert to fraction form
    4,941,025.50/10,706,811 = 10,706,811/x
  3. Step 3: Cross multiply
    4,941,025.50x = 10,706,811 × 10,706,811
  4. Step 4: Simplify right side
    4,941,025.50x = 114,635,801,789,721
  5. Step 5: Solve for x
    x = 114,635,801,789,721/4,941,025.50
  6. Step 6: Final answer
    x = 23,200,811.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.