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Finding the Third Proportional to 7,669,814.06 and 16,782,774.75

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Solution

The third proportional to 7,669,814.06 and 16,782,774.75 is: 36,723,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,814.06 : 16,782,774.75 = 16,782,774.75 : x
  2. Step 2: Convert to fraction form
    7,669,814.06/16,782,774.75 = 16,782,774.75/x
  3. Step 3: Cross multiply
    7,669,814.06x = 16,782,774.75 × 16,782,774.75
  4. Step 4: Simplify right side
    7,669,814.06x = 281,661,528,309,237.56
  5. Step 5: Solve for x
    x = 281,661,528,309,237.56/7,669,814.06
  6. Step 6: Final answer
    x = 36,723,384.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.