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Finding the Third Proportional to 12,203,797.50 and 16,574,265

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Solution

The third proportional to 12,203,797.50 and 16,574,265 is: 22,509,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203,797.50 : 16,574,265 = 16,574,265 : x
  2. Step 2: Convert to fraction form
    12,203,797.50/16,574,265 = 16,574,265/x
  3. Step 3: Cross multiply
    12,203,797.50x = 16,574,265 × 16,574,265
  4. Step 4: Simplify right side
    12,203,797.50x = 274,706,260,290,225
  5. Step 5: Solve for x
    x = 274,706,260,290,225/12,203,797.50
  6. Step 6: Final answer
    x = 22,509,899.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.