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Finding the Third Proportional to 338,501,405 and 737,096,836

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Solution

The third proportional to 338,501,405 and 737,096,836 is: 1,605,050,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,501,405 : 737,096,836 = 737,096,836 : x
  2. Step 2: Convert to fraction form
    338,501,405/737,096,836 = 737,096,836/x
  3. Step 3: Cross multiply
    338,501,405x = 737,096,836 × 737,096,836
  4. Step 4: Simplify right side
    338,501,405x = 543,311,745,641,210,880
  5. Step 5: Solve for x
    x = 543,311,745,641,210,880/338,501,405
  6. Step 6: Final answer
    x = 1,605,050,193.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.