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Finding the Third Proportional to 8,084,017.69 and 17,226,315.56

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Solution

The third proportional to 8,084,017.69 and 17,226,315.56 is: 36,707,731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084,017.69 : 17,226,315.56 = 17,226,315.56 : x
  2. Step 2: Convert to fraction form
    8,084,017.69/17,226,315.56 = 17,226,315.56/x
  3. Step 3: Cross multiply
    8,084,017.69x = 17,226,315.56 × 17,226,315.56
  4. Step 4: Simplify right side
    8,084,017.69x = 296,745,947,858,829.69
  5. Step 5: Solve for x
    x = 296,745,947,858,829.69/8,084,017.69
  6. Step 6: Final answer
    x = 36,707,731.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.