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Finding the Third Proportional to 393,145,851 and 853,120,378.50

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Solution

The third proportional to 393,145,851 and 853,120,378.50 is: 1,851,257,945.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,145,851 : 853,120,378.50 = 853,120,378.50 : x
  2. Step 2: Convert to fraction form
    393,145,851/853,120,378.50 = 853,120,378.50/x
  3. Step 3: Cross multiply
    393,145,851x = 853,120,378.50 × 853,120,378.50
  4. Step 4: Simplify right side
    393,145,851x = 727,814,380,211,983,232
  5. Step 5: Solve for x
    x = 727,814,380,211,983,232/393,145,851
  6. Step 6: Final answer
    x = 1,851,257,945.01

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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.