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Finding the Third Proportional to 14,026,071 and 20,982,604.50

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Solution

The third proportional to 14,026,071 and 20,982,604.50 is: 31,389,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026,071 : 20,982,604.50 = 20,982,604.50 : x
  2. Step 2: Convert to fraction form
    14,026,071/20,982,604.50 = 20,982,604.50/x
  3. Step 3: Cross multiply
    14,026,071x = 20,982,604.50 × 20,982,604.50
  4. Step 4: Simplify right side
    14,026,071x = 440,269,691,603,420.25
  5. Step 5: Solve for x
    x = 440,269,691,603,420.25/14,026,071
  6. Step 6: Final answer
    x = 31,389,381.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.