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Finding the Third Proportional to 6,729,804 and 10,174,896

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Solution

The third proportional to 6,729,804 and 10,174,896 is: 15,383,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,804 : 10,174,896 = 10,174,896 : x
  2. Step 2: Convert to fraction form
    6,729,804/10,174,896 = 10,174,896/x
  3. Step 3: Cross multiply
    6,729,804x = 10,174,896 × 10,174,896
  4. Step 4: Simplify right side
    6,729,804x = 103,528,508,610,816
  5. Step 5: Solve for x
    x = 103,528,508,610,816/6,729,804
  6. Step 6: Final answer
    x = 15,383,584.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.