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Finding the Third Proportional to 10,334,128.50 and 22,247,649

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Solution

The third proportional to 10,334,128.50 and 22,247,649 is: 47,895,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,334,128.50 : 22,247,649 = 22,247,649 : x
  2. Step 2: Convert to fraction form
    10,334,128.50/22,247,649 = 22,247,649/x
  3. Step 3: Cross multiply
    10,334,128.50x = 22,247,649 × 22,247,649
  4. Step 4: Simplify right side
    10,334,128.50x = 494,957,886,027,201
  5. Step 5: Solve for x
    x = 494,957,886,027,201/10,334,128.50
  6. Step 6: Final answer
    x = 47,895,464.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.