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Finding the Third Proportional to 658,589,668.50 and 1,300,523,137.50

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Solution

The third proportional to 658,589,668.50 and 1,300,523,137.50 is: 2,568,155,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,589,668.50 : 1,300,523,137.50 = 1,300,523,137.50 : x
  2. Step 2: Convert to fraction form
    658,589,668.50/1,300,523,137.50 = 1,300,523,137.50/x
  3. Step 3: Cross multiply
    658,589,668.50x = 1,300,523,137.50 × 1,300,523,137.50
  4. Step 4: Simplify right side
    658,589,668.50x = 1,691,360,431,172,844,032
  5. Step 5: Solve for x
    x = 1,691,360,431,172,844,032/658,589,668.50
  6. Step 6: Final answer
    x = 2,568,155,123.09

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.