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Finding the Third Proportional to 24,282,190,066.50 and 54,147,642,381

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Solution

The third proportional to 24,282,190,066.50 and 54,147,642,381 is: 120,745,582,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282,190,066.50 : 54,147,642,381 = 54,147,642,381 : x
  2. Step 2: Convert to fraction form
    24,282,190,066.50/54,147,642,381 = 54,147,642,381/x
  3. Step 3: Cross multiply
    24,282,190,066.50x = 54,147,642,381 × 54,147,642,381
  4. Step 4: Simplify right side
    24,282,190,066.50x = 2,931,967,175,420,667,232,256
  5. Step 5: Solve for x
    x = 2,931,967,175,420,667,232,256/24,282,190,066.50
  6. Step 6: Final answer
    x = 120,745,582,148.53

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.