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Finding the Third Proportional to 7,840,571.63 and 16,816,143.38

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Solution

The third proportional to 7,840,571.63 and 16,816,143.38 is: 36,066,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840,571.63 : 16,816,143.38 = 16,816,143.38 : x
  2. Step 2: Convert to fraction form
    7,840,571.63/16,816,143.38 = 16,816,143.38/x
  3. Step 3: Cross multiply
    7,840,571.63x = 16,816,143.38 × 16,816,143.38
  4. Step 4: Simplify right side
    7,840,571.63x = 282,782,678,008,556.38
  5. Step 5: Solve for x
    x = 282,782,678,008,556.38/7,840,571.63
  6. Step 6: Final answer
    x = 36,066,589.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.