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Finding the Third Proportional to 6,901,458.75 and 14,945,456.25

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Solution

The third proportional to 6,901,458.75 and 14,945,456.25 is: 32,365,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901,458.75 : 14,945,456.25 = 14,945,456.25 : x
  2. Step 2: Convert to fraction form
    6,901,458.75/14,945,456.25 = 14,945,456.25/x
  3. Step 3: Cross multiply
    6,901,458.75x = 14,945,456.25 × 14,945,456.25
  4. Step 4: Simplify right side
    6,901,458.75x = 223,366,662,520,664.06
  5. Step 5: Solve for x
    x = 223,366,662,520,664.06/6,901,458.75
  6. Step 6: Final answer
    x = 32,365,137.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.