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Finding the Third Proportional to 1,777,008,548,255.70 and 3,821,450,772,447.30

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Solution

The third proportional to 1,777,008,548,255.70 and 3,821,450,772,447.30 is: 8,218,016,745,373.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,008,548,255.70 : 3,821,450,772,447.30 = 3,821,450,772,447.30 : x
  2. Step 2: Convert to fraction form
    1,777,008,548,255.70/3,821,450,772,447.30 = 3,821,450,772,447.30/x
  3. Step 3: Cross multiply
    1,777,008,548,255.70x = 3,821,450,772,447.30 × 3,821,450,772,447.30
  4. Step 4: Simplify right side
    1,777,008,548,255.70x = 14,603,486,006,238,064,309,960,704
  5. Step 5: Solve for x
    x = 14,603,486,006,238,064,309,960,704/1,777,008,548,255.70
  6. Step 6: Final answer
    x = 8,218,016,745,373.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.