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Finding the Third Proportional to 27,826,172 and 36,591,282

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Solution

The third proportional to 27,826,172 and 36,591,282 is: 48,117,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826,172 : 36,591,282 = 36,591,282 : x
  2. Step 2: Convert to fraction form
    27,826,172/36,591,282 = 36,591,282/x
  3. Step 3: Cross multiply
    27,826,172x = 36,591,282 × 36,591,282
  4. Step 4: Simplify right side
    27,826,172x = 1,338,921,918,403,524
  5. Step 5: Solve for x
    x = 1,338,921,918,403,524/27,826,172
  6. Step 6: Final answer
    x = 48,117,359.38

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.