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Finding the Third Proportional to 16,266,098,310 and 35,515,215,372

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Solution

The third proportional to 16,266,098,310 and 35,515,215,372 is: 77,543,520,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266,098,310 : 35,515,215,372 = 35,515,215,372 : x
  2. Step 2: Convert to fraction form
    16,266,098,310/35,515,215,372 = 35,515,215,372/x
  3. Step 3: Cross multiply
    16,266,098,310x = 35,515,215,372 × 35,515,215,372
  4. Step 4: Simplify right side
    16,266,098,310x = 1,261,330,522,919,545,077,760
  5. Step 5: Solve for x
    x = 1,261,330,522,919,545,077,760/16,266,098,310
  6. Step 6: Final answer
    x = 77,543,520,202.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.