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Finding the Third Proportional to 23,150,916 and 34,057,206

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Solution

The third proportional to 23,150,916 and 34,057,206 is: 50,101,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150,916 : 34,057,206 = 34,057,206 : x
  2. Step 2: Convert to fraction form
    23,150,916/34,057,206 = 34,057,206/x
  3. Step 3: Cross multiply
    23,150,916x = 34,057,206 × 34,057,206
  4. Step 4: Simplify right side
    23,150,916x = 1,159,893,280,526,436
  5. Step 5: Solve for x
    x = 1,159,893,280,526,436/23,150,916
  6. Step 6: Final answer
    x = 50,101,399.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.