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Finding the Third Proportional to 12,744,172.50 and 27,519,005.25

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Solution

The third proportional to 12,744,172.50 and 27,519,005.25 is: 59,422,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744,172.50 : 27,519,005.25 = 27,519,005.25 : x
  2. Step 2: Convert to fraction form
    12,744,172.50/27,519,005.25 = 27,519,005.25/x
  3. Step 3: Cross multiply
    12,744,172.50x = 27,519,005.25 × 27,519,005.25
  4. Step 4: Simplify right side
    12,744,172.50x = 757,295,649,949,527.50
  5. Step 5: Solve for x
    x = 757,295,649,949,527.50/12,744,172.50
  6. Step 6: Final answer
    x = 59,422,897.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.