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Finding the Third Proportional to 10,114,105.50 and 21,846,657.75

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Solution

The third proportional to 10,114,105.50 and 21,846,657.75 is: 47,189,190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114,105.50 : 21,846,657.75 = 21,846,657.75 : x
  2. Step 2: Convert to fraction form
    10,114,105.50/21,846,657.75 = 21,846,657.75/x
  3. Step 3: Cross multiply
    10,114,105.50x = 21,846,657.75 × 21,846,657.75
  4. Step 4: Simplify right side
    10,114,105.50x = 477,276,454,845,635.06
  5. Step 5: Solve for x
    x = 477,276,454,845,635.06/10,114,105.50
  6. Step 6: Final answer
    x = 47,189,190.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.