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Finding the Third Proportional to 10,167,205 and 15,489,041

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Solution

The third proportional to 10,167,205 and 15,489,041 is: 23,596,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167,205 : 15,489,041 = 15,489,041 : x
  2. Step 2: Convert to fraction form
    10,167,205/15,489,041 = 15,489,041/x
  3. Step 3: Cross multiply
    10,167,205x = 15,489,041 × 15,489,041
  4. Step 4: Simplify right side
    10,167,205x = 239,910,391,099,681
  5. Step 5: Solve for x
    x = 239,910,391,099,681/10,167,205
  6. Step 6: Final answer
    x = 23,596,493.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.