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Finding the Third Proportional to 382,567,540.50 and 818,322,921

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Solution

The third proportional to 382,567,540.50 and 818,322,921 is: 1,750,416,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,567,540.50 : 818,322,921 = 818,322,921 : x
  2. Step 2: Convert to fraction form
    382,567,540.50/818,322,921 = 818,322,921/x
  3. Step 3: Cross multiply
    382,567,540.50x = 818,322,921 × 818,322,921
  4. Step 4: Simplify right side
    382,567,540.50x = 669,652,403,033,972,224
  5. Step 5: Solve for x
    x = 669,652,403,033,972,224/382,567,540.50
  6. Step 6: Final answer
    x = 1,750,416,154.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.