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Finding the Third Proportional to 3,542,940 and 7,528,747.50

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Solution

The third proportional to 3,542,940 and 7,528,747.50 is: 15,998,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542,940 : 7,528,747.50 = 7,528,747.50 : x
  2. Step 2: Convert to fraction form
    3,542,940/7,528,747.50 = 7,528,747.50/x
  3. Step 3: Cross multiply
    3,542,940x = 7,528,747.50 × 7,528,747.50
  4. Step 4: Simplify right side
    3,542,940x = 56,682,038,918,756.25
  5. Step 5: Solve for x
    x = 56,682,038,918,756.25/3,542,940
  6. Step 6: Final answer
    x = 15,998,588.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.