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Finding the Third Proportional to 12,295,037.25 and 26,505,324.75

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Solution

The third proportional to 12,295,037.25 and 26,505,324.75 is: 57,139,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295,037.25 : 26,505,324.75 = 26,505,324.75 : x
  2. Step 2: Convert to fraction form
    12,295,037.25/26,505,324.75 = 26,505,324.75/x
  3. Step 3: Cross multiply
    12,295,037.25x = 26,505,324.75 × 26,505,324.75
  4. Step 4: Simplify right side
    12,295,037.25x = 702,532,240,102,962.50
  5. Step 5: Solve for x
    x = 702,532,240,102,962.50/12,295,037.25
  6. Step 6: Final answer
    x = 57,139,496.68

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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.