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Finding the Third Proportional to 5,230,975.50 and 11,084,211

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Solution

The third proportional to 5,230,975.50 and 11,084,211 is: 23,486,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,975.50 : 11,084,211 = 11,084,211 : x
  2. Step 2: Convert to fraction form
    5,230,975.50/11,084,211 = 11,084,211/x
  3. Step 3: Cross multiply
    5,230,975.50x = 11,084,211 × 11,084,211
  4. Step 4: Simplify right side
    5,230,975.50x = 122,859,733,492,521
  5. Step 5: Solve for x
    x = 122,859,733,492,521/5,230,975.50
  6. Step 6: Final answer
    x = 23,486,964.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.