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Finding the Third Proportional to 6,111,229.50 and 13,214,763

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Solution

The third proportional to 6,111,229.50 and 13,214,763 is: 28,575,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111,229.50 : 13,214,763 = 13,214,763 : x
  2. Step 2: Convert to fraction form
    6,111,229.50/13,214,763 = 13,214,763/x
  3. Step 3: Cross multiply
    6,111,229.50x = 13,214,763 × 13,214,763
  4. Step 4: Simplify right side
    6,111,229.50x = 174,629,961,146,169
  5. Step 5: Solve for x
    x = 174,629,961,146,169/6,111,229.50
  6. Step 6: Final answer
    x = 28,575,258.24

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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.