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Finding the Third Proportional to 7,823,356.50 and 11,967,615.75

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Solution

The third proportional to 7,823,356.50 and 11,967,615.75 is: 18,307,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823,356.50 : 11,967,615.75 = 11,967,615.75 : x
  2. Step 2: Convert to fraction form
    7,823,356.50/11,967,615.75 = 11,967,615.75/x
  3. Step 3: Cross multiply
    7,823,356.50x = 11,967,615.75 × 11,967,615.75
  4. Step 4: Simplify right side
    7,823,356.50x = 143,223,826,739,648.06
  5. Step 5: Solve for x
    x = 143,223,826,739,648.06/7,823,356.50
  6. Step 6: Final answer
    x = 18,307,209.54

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.