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Finding the Third Proportional to 1,747,885,406.50 and 3,745,082,799

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Solution

The third proportional to 1,747,885,406.50 and 3,745,082,799 is: 8,024,350,520.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,885,406.50 : 3,745,082,799 = 3,745,082,799 : x
  2. Step 2: Convert to fraction form
    1,747,885,406.50/3,745,082,799 = 3,745,082,799/x
  3. Step 3: Cross multiply
    1,747,885,406.50x = 3,745,082,799 × 3,745,082,799
  4. Step 4: Simplify right side
    1,747,885,406.50x = 14,025,645,171,365,675,008
  5. Step 5: Solve for x
    x = 14,025,645,171,365,675,008/1,747,885,406.50
  6. Step 6: Final answer
    x = 8,024,350,520.47

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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.