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Finding the Third Proportional to 6,526,032 and 14,101,824

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Solution

The third proportional to 6,526,032 and 14,101,824 is: 30,472,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,032 : 14,101,824 = 14,101,824 : x
  2. Step 2: Convert to fraction form
    6,526,032/14,101,824 = 14,101,824/x
  3. Step 3: Cross multiply
    6,526,032x = 14,101,824 × 14,101,824
  4. Step 4: Simplify right side
    6,526,032x = 198,861,440,126,976
  5. Step 5: Solve for x
    x = 198,861,440,126,976/6,526,032
  6. Step 6: Final answer
    x = 30,472,029.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.