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Finding the Third Proportional to 17,024,321.25 and 23,888,495.25

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Solution

The third proportional to 17,024,321.25 and 23,888,495.25 is: 33,520,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024,321.25 : 23,888,495.25 = 23,888,495.25 : x
  2. Step 2: Convert to fraction form
    17,024,321.25/23,888,495.25 = 23,888,495.25/x
  3. Step 3: Cross multiply
    17,024,321.25x = 23,888,495.25 × 23,888,495.25
  4. Step 4: Simplify right side
    17,024,321.25x = 570,660,205,309,272.50
  5. Step 5: Solve for x
    x = 570,660,205,309,272.50/17,024,321.25
  6. Step 6: Final answer
    x = 33,520,291.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.