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Finding the Third Proportional to 5,739,816 and 12,599,196

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Solution

The third proportional to 5,739,816 and 12,599,196 is: 27,655,893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,816 : 12,599,196 = 12,599,196 : x
  2. Step 2: Convert to fraction form
    5,739,816/12,599,196 = 12,599,196/x
  3. Step 3: Cross multiply
    5,739,816x = 12,599,196 × 12,599,196
  4. Step 4: Simplify right side
    5,739,816x = 158,739,739,846,416
  5. Step 5: Solve for x
    x = 158,739,739,846,416/5,739,816
  6. Step 6: Final answer
    x = 27,655,893.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.