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Finding the Third Proportional to 6,456,945.75 and 14,048,868

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Solution

The third proportional to 6,456,945.75 and 14,048,868 is: 30,567,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,945.75 : 14,048,868 = 14,048,868 : x
  2. Step 2: Convert to fraction form
    6,456,945.75/14,048,868 = 14,048,868/x
  3. Step 3: Cross multiply
    6,456,945.75x = 14,048,868 × 14,048,868
  4. Step 4: Simplify right side
    6,456,945.75x = 197,370,692,081,424
  5. Step 5: Solve for x
    x = 197,370,692,081,424/6,456,945.75
  6. Step 6: Final answer
    x = 30,567,190.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.