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Finding the Third Proportional to 538,062,168 and 1,119,067,174.50

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Solution

The third proportional to 538,062,168 and 1,119,067,174.50 is: 2,327,447,301.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,062,168 : 1,119,067,174.50 = 1,119,067,174.50 : x
  2. Step 2: Convert to fraction form
    538,062,168/1,119,067,174.50 = 1,119,067,174.50/x
  3. Step 3: Cross multiply
    538,062,168x = 1,119,067,174.50 × 1,119,067,174.50
  4. Step 4: Simplify right side
    538,062,168x = 1,252,311,341,043,413,504
  5. Step 5: Solve for x
    x = 1,252,311,341,043,413,504/538,062,168
  6. Step 6: Final answer
    x = 2,327,447,301.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.