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Finding the Third Proportional to 27,488,209.50 and 54,282,573

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Solution

The third proportional to 27,488,209.50 and 54,282,573 is: 107,194,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488,209.50 : 54,282,573 = 54,282,573 : x
  2. Step 2: Convert to fraction form
    27,488,209.50/54,282,573 = 54,282,573/x
  3. Step 3: Cross multiply
    27,488,209.50x = 54,282,573 × 54,282,573
  4. Step 4: Simplify right side
    27,488,209.50x = 2,946,597,731,500,329
  5. Step 5: Solve for x
    x = 2,946,597,731,500,329/27,488,209.50
  6. Step 6: Final answer
    x = 107,194,967.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.