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Finding the Third Proportional to 9,095,911.50 and 13,629,826.50

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Solution

The third proportional to 9,095,911.50 and 13,629,826.50 is: 20,423,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095,911.50 : 13,629,826.50 = 13,629,826.50 : x
  2. Step 2: Convert to fraction form
    9,095,911.50/13,629,826.50 = 13,629,826.50/x
  3. Step 3: Cross multiply
    9,095,911.50x = 13,629,826.50 × 13,629,826.50
  4. Step 4: Simplify right side
    9,095,911.50x = 185,772,170,420,102.25
  5. Step 5: Solve for x
    x = 185,772,170,420,102.25/9,095,911.50
  6. Step 6: Final answer
    x = 20,423,700.30

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Why These Related Problems?

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