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Finding the Third Proportional to 6,783,198.19 and 14,786,013.38

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Solution

The third proportional to 6,783,198.19 and 14,786,013.38 is: 32,230,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783,198.19 : 14,786,013.38 = 14,786,013.38 : x
  2. Step 2: Convert to fraction form
    6,783,198.19/14,786,013.38 = 14,786,013.38/x
  3. Step 3: Cross multiply
    6,783,198.19x = 14,786,013.38 × 14,786,013.38
  4. Step 4: Simplify right side
    6,783,198.19x = 218,626,191,525,678.88
  5. Step 5: Solve for x
    x = 218,626,191,525,678.88/6,783,198.19
  6. Step 6: Final answer
    x = 32,230,547.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.