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Finding the Third Proportional to 11,557,201.50 and 17,298,076.50

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Solution

The third proportional to 11,557,201.50 and 17,298,076.50 is: 25,890,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557,201.50 : 17,298,076.50 = 17,298,076.50 : x
  2. Step 2: Convert to fraction form
    11,557,201.50/17,298,076.50 = 17,298,076.50/x
  3. Step 3: Cross multiply
    11,557,201.50x = 17,298,076.50 × 17,298,076.50
  4. Step 4: Simplify right side
    11,557,201.50x = 299,223,450,599,852.25
  5. Step 5: Solve for x
    x = 299,223,450,599,852.25/11,557,201.50
  6. Step 6: Final answer
    x = 25,890,649.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.