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Finding the Third Proportional to 10,638,661.50 and 16,848,648

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Solution

The third proportional to 10,638,661.50 and 16,848,648 is: 26,683,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638,661.50 : 16,848,648 = 16,848,648 : x
  2. Step 2: Convert to fraction form
    10,638,661.50/16,848,648 = 16,848,648/x
  3. Step 3: Cross multiply
    10,638,661.50x = 16,848,648 × 16,848,648
  4. Step 4: Simplify right side
    10,638,661.50x = 283,876,939,427,904
  5. Step 5: Solve for x
    x = 283,876,939,427,904/10,638,661.50
  6. Step 6: Final answer
    x = 26,683,520.24

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.