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Finding the Third Proportional to 6,829,921.50 and 13,934,187

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Solution

The third proportional to 6,829,921.50 and 13,934,187 is: 28,428,081.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,921.50 : 13,934,187 = 13,934,187 : x
  2. Step 2: Convert to fraction form
    6,829,921.50/13,934,187 = 13,934,187/x
  3. Step 3: Cross multiply
    6,829,921.50x = 13,934,187 × 13,934,187
  4. Step 4: Simplify right side
    6,829,921.50x = 194,161,567,350,969
  5. Step 5: Solve for x
    x = 194,161,567,350,969/6,829,921.50
  6. Step 6: Final answer
    x = 28,428,081.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.