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Finding the Third Proportional to 7,442,651.25 and 15,200,223.75

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Solution

The third proportional to 7,442,651.25 and 15,200,223.75 is: 31,043,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,651.25 : 15,200,223.75 = 15,200,223.75 : x
  2. Step 2: Convert to fraction form
    7,442,651.25/15,200,223.75 = 15,200,223.75/x
  3. Step 3: Cross multiply
    7,442,651.25x = 15,200,223.75 × 15,200,223.75
  4. Step 4: Simplify right side
    7,442,651.25x = 231,046,802,050,064.06
  5. Step 5: Solve for x
    x = 231,046,802,050,064.06/7,442,651.25
  6. Step 6: Final answer
    x = 31,043,615.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.