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Finding the Third Proportional to 6,403,969 and 14,053,866

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Solution

The third proportional to 6,403,969 and 14,053,866 is: 30,841,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403,969 : 14,053,866 = 14,053,866 : x
  2. Step 2: Convert to fraction form
    6,403,969/14,053,866 = 14,053,866/x
  3. Step 3: Cross multiply
    6,403,969x = 14,053,866 × 14,053,866
  4. Step 4: Simplify right side
    6,403,969x = 197,511,149,545,956
  5. Step 5: Solve for x
    x = 197,511,149,545,956/6,403,969
  6. Step 6: Final answer
    x = 30,841,990.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.