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Finding the Third Proportional to 50,969,418,399 and 70,868,902,163.06

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Solution

The third proportional to 50,969,418,399 and 70,868,902,163.06 is: 98,537,543,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,969,418,399 : 70,868,902,163.06 = 70,868,902,163.06 : x
  2. Step 2: Convert to fraction form
    50,969,418,399/70,868,902,163.06 = 70,868,902,163.06/x
  3. Step 3: Cross multiply
    50,969,418,399x = 70,868,902,163.06 × 70,868,902,163.06
  4. Step 4: Simplify right side
    50,969,418,399x = 5,022,401,293,797,369,577,472
  5. Step 5: Solve for x
    x = 5,022,401,293,797,369,577,472/50,969,418,399
  6. Step 6: Final answer
    x = 98,537,543,718.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.