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Finding the Third Proportional to 27,098,140.50 and 38,629,399.50

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Solution

The third proportional to 27,098,140.50 and 38,629,399.50 is: 55,067,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098,140.50 : 38,629,399.50 = 38,629,399.50 : x
  2. Step 2: Convert to fraction form
    27,098,140.50/38,629,399.50 = 38,629,399.50/x
  3. Step 3: Cross multiply
    27,098,140.50x = 38,629,399.50 × 38,629,399.50
  4. Step 4: Simplify right side
    27,098,140.50x = 1,492,230,505,730,600.25
  5. Step 5: Solve for x
    x = 1,492,230,505,730,600.25/27,098,140.50
  6. Step 6: Final answer
    x = 55,067,634.83

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.