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Finding the Third Proportional to 3,117,078 and 6,571,866

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Solution

The third proportional to 3,117,078 and 6,571,866 is: 13,855,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,078 : 6,571,866 = 6,571,866 : x
  2. Step 2: Convert to fraction form
    3,117,078/6,571,866 = 6,571,866/x
  3. Step 3: Cross multiply
    3,117,078x = 6,571,866 × 6,571,866
  4. Step 4: Simplify right side
    3,117,078x = 43,189,422,721,956
  5. Step 5: Solve for x
    x = 43,189,422,721,956/3,117,078
  6. Step 6: Final answer
    x = 13,855,740.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.