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Finding the Third Proportional to 11,897,242.88 and 16,052,178.38

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Solution

The third proportional to 11,897,242.88 and 16,052,178.38 is: 21,658,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897,242.88 : 16,052,178.38 = 16,052,178.38 : x
  2. Step 2: Convert to fraction form
    11,897,242.88/16,052,178.38 = 16,052,178.38/x
  3. Step 3: Cross multiply
    11,897,242.88x = 16,052,178.38 × 16,052,178.38
  4. Step 4: Simplify right side
    11,897,242.88x = 257,672,430,582,817.62
  5. Step 5: Solve for x
    x = 257,672,430,582,817.62/11,897,242.88
  6. Step 6: Final answer
    x = 21,658,163.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.