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Finding the Third Proportional to 6,287,974.75 and 13,472,346.25

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Solution

The third proportional to 6,287,974.75 and 13,472,346.25 is: 28,865,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287,974.75 : 13,472,346.25 = 13,472,346.25 : x
  2. Step 2: Convert to fraction form
    6,287,974.75/13,472,346.25 = 13,472,346.25/x
  3. Step 3: Cross multiply
    6,287,974.75x = 13,472,346.25 × 13,472,346.25
  4. Step 4: Simplify right side
    6,287,974.75x = 181,504,113,479,889.06
  5. Step 5: Solve for x
    x = 181,504,113,479,889.06/6,287,974.75
  6. Step 6: Final answer
    x = 28,865,273.91

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Why These Related Problems?

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