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Finding the Third Proportional to 10,894,203 and 23,591,949.75

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Solution

The third proportional to 10,894,203 and 23,591,949.75 is: 51,089,565.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894,203 : 23,591,949.75 = 23,591,949.75 : x
  2. Step 2: Convert to fraction form
    10,894,203/23,591,949.75 = 23,591,949.75/x
  3. Step 3: Cross multiply
    10,894,203x = 23,591,949.75 × 23,591,949.75
  4. Step 4: Simplify right side
    10,894,203x = 556,580,093,006,525.06
  5. Step 5: Solve for x
    x = 556,580,093,006,525.06/10,894,203
  6. Step 6: Final answer
    x = 51,089,565.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.