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Finding the Third Proportional to 4,433,659.50 and 6,682,198.50

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Solution

The third proportional to 4,433,659.50 and 6,682,198.50 is: 10,071,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433,659.50 : 6,682,198.50 = 6,682,198.50 : x
  2. Step 2: Convert to fraction form
    4,433,659.50/6,682,198.50 = 6,682,198.50/x
  3. Step 3: Cross multiply
    4,433,659.50x = 6,682,198.50 × 6,682,198.50
  4. Step 4: Simplify right side
    4,433,659.50x = 44,651,776,793,402.25
  5. Step 5: Solve for x
    x = 44,651,776,793,402.25/4,433,659.50
  6. Step 6: Final answer
    x = 10,071,088.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.