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Finding the Third Proportional to 27,725,772 and 61,826,596

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Solution

The third proportional to 27,725,772 and 61,826,596 is: 137,869,126.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725,772 : 61,826,596 = 61,826,596 : x
  2. Step 2: Convert to fraction form
    27,725,772/61,826,596 = 61,826,596/x
  3. Step 3: Cross multiply
    27,725,772x = 61,826,596 × 61,826,596
  4. Step 4: Simplify right side
    27,725,772x = 3,822,527,972,947,216
  5. Step 5: Solve for x
    x = 3,822,527,972,947,216/27,725,772
  6. Step 6: Final answer
    x = 137,869,126.71

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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.