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Finding the Third Proportional to 8,400,510 and 18,321,469.50

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Solution

The third proportional to 8,400,510 and 18,321,469.50 is: 39,959,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400,510 : 18,321,469.50 = 18,321,469.50 : x
  2. Step 2: Convert to fraction form
    8,400,510/18,321,469.50 = 18,321,469.50/x
  3. Step 3: Cross multiply
    8,400,510x = 18,321,469.50 × 18,321,469.50
  4. Step 4: Simplify right side
    8,400,510x = 335,676,244,639,430.25
  5. Step 5: Solve for x
    x = 335,676,244,639,430.25/8,400,510
  6. Step 6: Final answer
    x = 39,959,031.61

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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.