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Finding the Third Proportional to 20,211,214.50 and 31,066,416

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Solution

The third proportional to 20,211,214.50 and 31,066,416 is: 47,751,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,211,214.50 : 31,066,416 = 31,066,416 : x
  2. Step 2: Convert to fraction form
    20,211,214.50/31,066,416 = 31,066,416/x
  3. Step 3: Cross multiply
    20,211,214.50x = 31,066,416 × 31,066,416
  4. Step 4: Simplify right side
    20,211,214.50x = 965,122,203,085,056
  5. Step 5: Solve for x
    x = 965,122,203,085,056/20,211,214.50
  6. Step 6: Final answer
    x = 47,751,816.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.