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Finding the Third Proportional to 1,747,885,409.50 and 3,745,082,805

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Solution

The third proportional to 1,747,885,409.50 and 3,745,082,805 is: 8,024,350,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,885,409.50 : 3,745,082,805 = 3,745,082,805 : x
  2. Step 2: Convert to fraction form
    1,747,885,409.50/3,745,082,805 = 3,745,082,805/x
  3. Step 3: Cross multiply
    1,747,885,409.50x = 3,745,082,805 × 3,745,082,805
  4. Step 4: Simplify right side
    1,747,885,409.50x = 14,025,645,216,306,667,520
  5. Step 5: Solve for x
    x = 14,025,645,216,306,667,520/1,747,885,409.50
  6. Step 6: Final answer
    x = 8,024,350,532.41

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