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Finding the Third Proportional to 3,525,910.38 and 7,638,717.02

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Solution

The third proportional to 3,525,910.38 and 7,638,717.02 is: 16,548,916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525,910.38 : 7,638,717.02 = 7,638,717.02 : x
  2. Step 2: Convert to fraction form
    3,525,910.38/7,638,717.02 = 7,638,717.02/x
  3. Step 3: Cross multiply
    3,525,910.38x = 7,638,717.02 × 7,638,717.02
  4. Step 4: Simplify right side
    3,525,910.38x = 58,349,997,764,153.86
  5. Step 5: Solve for x
    x = 58,349,997,764,153.86/3,525,910.38
  6. Step 6: Final answer
    x = 16,548,916.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.