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Finding the Third Proportional to 7,682,893.03 and 16,461,036.42

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Solution

The third proportional to 7,682,893.03 and 16,461,036.42 is: 35,268,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682,893.03 : 16,461,036.42 = 16,461,036.42 : x
  2. Step 2: Convert to fraction form
    7,682,893.03/16,461,036.42 = 16,461,036.42/x
  3. Step 3: Cross multiply
    7,682,893.03x = 16,461,036.42 × 16,461,036.42
  4. Step 4: Simplify right side
    7,682,893.03x = 270,965,720,082,295.31
  5. Step 5: Solve for x
    x = 270,965,720,082,295.31/7,682,893.03
  6. Step 6: Final answer
    x = 35,268,709.19

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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.