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Finding the Third Proportional to 7,879,178.81 and 17,253,035.44

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Solution

The third proportional to 7,879,178.81 and 17,253,035.44 is: 37,778,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879,178.81 : 17,253,035.44 = 17,253,035.44 : x
  2. Step 2: Convert to fraction form
    7,879,178.81/17,253,035.44 = 17,253,035.44/x
  3. Step 3: Cross multiply
    7,879,178.81x = 17,253,035.44 × 17,253,035.44
  4. Step 4: Simplify right side
    7,879,178.81x = 297,667,231,807,630.81
  5. Step 5: Solve for x
    x = 297,667,231,807,630.81/7,879,178.81
  6. Step 6: Final answer
    x = 37,778,966.42

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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.