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Finding the Third Proportional to 5,108,910 and 7,684,825.50

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Solution

The third proportional to 5,108,910 and 7,684,825.50 is: 11,559,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,910 : 7,684,825.50 = 7,684,825.50 : x
  2. Step 2: Convert to fraction form
    5,108,910/7,684,825.50 = 7,684,825.50/x
  3. Step 3: Cross multiply
    5,108,910x = 7,684,825.50 × 7,684,825.50
  4. Step 4: Simplify right side
    5,108,910x = 59,056,542,965,450.25
  5. Step 5: Solve for x
    x = 59,056,542,965,450.25/5,108,910
  6. Step 6: Final answer
    x = 11,559,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.