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Finding the Third Proportional to 6,287,974.31 and 13,472,345.25

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Solution

The third proportional to 6,287,974.31 and 13,472,345.25 is: 28,865,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,974.31 : 13,472,345.25 = 13,472,345.25 : x
  2. Step 2: Convert to fraction form
    6,287,974.31/13,472,345.25 = 13,472,345.25/x
  3. Step 3: Cross multiply
    6,287,974.31x = 13,472,345.25 × 13,472,345.25
  4. Step 4: Simplify right side
    6,287,974.31x = 181,504,086,535,197.56
  5. Step 5: Solve for x
    x = 181,504,086,535,197.56/6,287,974.31
  6. Step 6: Final answer
    x = 28,865,271.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.