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Finding the Third Proportional to 3,708,993.94 and 7,816,507.31

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Solution

The third proportional to 3,708,993.94 and 7,816,507.31 is: 16,472,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708,993.94 : 7,816,507.31 = 7,816,507.31 : x
  2. Step 2: Convert to fraction form
    3,708,993.94/7,816,507.31 = 7,816,507.31/x
  3. Step 3: Cross multiply
    3,708,993.94x = 7,816,507.31 × 7,816,507.31
  4. Step 4: Simplify right side
    3,708,993.94x = 61,097,786,566,365.97
  5. Step 5: Solve for x
    x = 61,097,786,566,365.97/3,708,993.94
  6. Step 6: Final answer
    x = 16,472,873.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.