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Finding the Third Proportional to 5,096,021 and 11,091,178

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Solution

The third proportional to 5,096,021 and 11,091,178 is: 24,139,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096,021 : 11,091,178 = 11,091,178 : x
  2. Step 2: Convert to fraction form
    5,096,021/11,091,178 = 11,091,178/x
  3. Step 3: Cross multiply
    5,096,021x = 11,091,178 × 11,091,178
  4. Step 4: Simplify right side
    5,096,021x = 123,014,229,427,684
  5. Step 5: Solve for x
    x = 123,014,229,427,684/5,096,021
  6. Step 6: Final answer
    x = 24,139,270.51

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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.