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Finding the Third Proportional to 5,199,873.50 and 11,594,669.50

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Solution

The third proportional to 5,199,873.50 and 11,594,669.50 is: 25,853,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199,873.50 : 11,594,669.50 = 11,594,669.50 : x
  2. Step 2: Convert to fraction form
    5,199,873.50/11,594,669.50 = 11,594,669.50/x
  3. Step 3: Cross multiply
    5,199,873.50x = 11,594,669.50 × 11,594,669.50
  4. Step 4: Simplify right side
    5,199,873.50x = 134,436,360,814,230.25
  5. Step 5: Solve for x
    x = 134,436,360,814,230.25/5,199,873.50
  6. Step 6: Final answer
    x = 25,853,775.25

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.