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Finding the Third Proportional to 3,780,785.50 and 8,296,403

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Solution

The third proportional to 3,780,785.50 and 8,296,403 is: 18,205,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,785.50 : 8,296,403 = 8,296,403 : x
  2. Step 2: Convert to fraction form
    3,780,785.50/8,296,403 = 8,296,403/x
  3. Step 3: Cross multiply
    3,780,785.50x = 8,296,403 × 8,296,403
  4. Step 4: Simplify right side
    3,780,785.50x = 68,830,302,738,409
  5. Step 5: Solve for x
    x = 68,830,302,738,409/3,780,785.50
  6. Step 6: Final answer
    x = 18,205,291.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.