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Finding the Third Proportional to 3,686,242.50 and 8,081,076.38

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Solution

The third proportional to 3,686,242.50 and 8,081,076.38 is: 17,715,545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,242.50 : 8,081,076.38 = 8,081,076.38 : x
  2. Step 2: Convert to fraction form
    3,686,242.50/8,081,076.38 = 8,081,076.38/x
  3. Step 3: Cross multiply
    3,686,242.50x = 8,081,076.38 × 8,081,076.38
  4. Step 4: Simplify right side
    3,686,242.50x = 65,303,795,378,583.14
  5. Step 5: Solve for x
    x = 65,303,795,378,583.14/3,686,242.50
  6. Step 6: Final answer
    x = 17,715,545.13

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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.