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Finding the Third Proportional to 4,101,583.50 and 8,834,217.75

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Solution

The third proportional to 4,101,583.50 and 8,834,217.75 is: 19,027,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101,583.50 : 8,834,217.75 = 8,834,217.75 : x
  2. Step 2: Convert to fraction form
    4,101,583.50/8,834,217.75 = 8,834,217.75/x
  3. Step 3: Cross multiply
    4,101,583.50x = 8,834,217.75 × 8,834,217.75
  4. Step 4: Simplify right side
    4,101,583.50x = 78,043,403,254,415.06
  5. Step 5: Solve for x
    x = 78,043,403,254,415.06/4,101,583.50
  6. Step 6: Final answer
    x = 19,027,627.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.