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Finding the Third Proportional to 8,148,979.69 and 17,713,198.69

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Solution

The third proportional to 8,148,979.69 and 17,713,198.69 is: 38,502,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,979.69 : 17,713,198.69 = 17,713,198.69 : x
  2. Step 2: Convert to fraction form
    8,148,979.69/17,713,198.69 = 17,713,198.69/x
  3. Step 3: Cross multiply
    8,148,979.69x = 17,713,198.69 × 17,713,198.69
  4. Step 4: Simplify right side
    8,148,979.69x = 313,757,407,742,851.75
  5. Step 5: Solve for x
    x = 313,757,407,742,851.75/8,148,979.69
  6. Step 6: Final answer
    x = 38,502,661.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.