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Finding the Third Proportional to 13,187,527.50 and 27,792,015

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Solution

The third proportional to 13,187,527.50 and 27,792,015 is: 58,570,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187,527.50 : 27,792,015 = 27,792,015 : x
  2. Step 2: Convert to fraction form
    13,187,527.50/27,792,015 = 27,792,015/x
  3. Step 3: Cross multiply
    13,187,527.50x = 27,792,015 × 27,792,015
  4. Step 4: Simplify right side
    13,187,527.50x = 772,396,097,760,225
  5. Step 5: Solve for x
    x = 772,396,097,760,225/13,187,527.50
  6. Step 6: Final answer
    x = 58,570,198.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.