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Finding the Third Proportional to 8,185,872 and 17,823,997.50

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Solution

The third proportional to 8,185,872 and 17,823,997.50 is: 38,810,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185,872 : 17,823,997.50 = 17,823,997.50 : x
  2. Step 2: Convert to fraction form
    8,185,872/17,823,997.50 = 17,823,997.50/x
  3. Step 3: Cross multiply
    8,185,872x = 17,823,997.50 × 17,823,997.50
  4. Step 4: Simplify right side
    8,185,872x = 317,694,886,880,006.25
  5. Step 5: Solve for x
    x = 317,694,886,880,006.25/8,185,872
  6. Step 6: Final answer
    x = 38,810,145.93

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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.