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Finding the Third Proportional to 27,725,625 and 61,826,301

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Solution

The third proportional to 27,725,625 and 61,826,301 is: 137,868,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725,625 : 61,826,301 = 61,826,301 : x
  2. Step 2: Convert to fraction form
    27,725,625/61,826,301 = 61,826,301/x
  3. Step 3: Cross multiply
    27,725,625x = 61,826,301 × 61,826,301
  4. Step 4: Simplify right side
    27,725,625x = 3,822,491,495,342,601
  5. Step 5: Solve for x
    x = 3,822,491,495,342,601/27,725,625
  6. Step 6: Final answer
    x = 137,868,542.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.