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Finding the Third Proportional to 7,399,123,916 and 17,265,219,116

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Solution

The third proportional to 7,399,123,916 and 17,265,219,116 is: 40,286,903,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399,123,916 : 17,265,219,116 = 17,265,219,116 : x
  2. Step 2: Convert to fraction form
    7,399,123,916/17,265,219,116 = 17,265,219,116/x
  3. Step 3: Cross multiply
    7,399,123,916x = 17,265,219,116 × 17,265,219,116
  4. Step 4: Simplify right side
    7,399,123,916x = 298,087,791,123,491,848,192
  5. Step 5: Solve for x
    x = 298,087,791,123,491,848,192/7,399,123,916
  6. Step 6: Final answer
    x = 40,286,903,491.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.