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Finding the Third Proportional to 7,743,660.75 and 16,699,668.75

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Solution

The third proportional to 7,743,660.75 and 16,699,668.75 is: 36,013,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743,660.75 : 16,699,668.75 = 16,699,668.75 : x
  2. Step 2: Convert to fraction form
    7,743,660.75/16,699,668.75 = 16,699,668.75/x
  3. Step 3: Cross multiply
    7,743,660.75x = 16,699,668.75 × 16,699,668.75
  4. Step 4: Simplify right side
    7,743,660.75x = 278,878,936,359,726.56
  5. Step 5: Solve for x
    x = 278,878,936,359,726.56/7,743,660.75
  6. Step 6: Final answer
    x = 36,013,837.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.