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Finding the Third Proportional to 8,282,178 and 17,715,811.31

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Solution

The third proportional to 8,282,178 and 17,715,811.31 is: 37,894,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282,178 : 17,715,811.31 = 17,715,811.31 : x
  2. Step 2: Convert to fraction form
    8,282,178/17,715,811.31 = 17,715,811.31/x
  3. Step 3: Cross multiply
    8,282,178x = 17,715,811.31 × 17,715,811.31
  4. Step 4: Simplify right side
    8,282,178x = 313,849,970,460,103
  5. Step 5: Solve for x
    x = 313,849,970,460,103/8,282,178
  6. Step 6: Final answer
    x = 37,894,617.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.