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Finding the Third Proportional to 27,488,205 and 54,282,563

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Solution

The third proportional to 27,488,205 and 54,282,563 is: 107,194,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488,205 : 54,282,563 = 54,282,563 : x
  2. Step 2: Convert to fraction form
    27,488,205/54,282,563 = 54,282,563/x
  3. Step 3: Cross multiply
    27,488,205x = 54,282,563 × 54,282,563
  4. Step 4: Simplify right side
    27,488,205x = 2,946,596,645,848,969
  5. Step 5: Solve for x
    x = 2,946,596,645,848,969/27,488,205
  6. Step 6: Final answer
    x = 107,194,945.83

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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.