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Finding the Third Proportional to 27,938,284 and 41,735,367

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Solution

The third proportional to 27,938,284 and 41,735,367 is: 62,346,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938,284 : 41,735,367 = 41,735,367 : x
  2. Step 2: Convert to fraction form
    27,938,284/41,735,367 = 41,735,367/x
  3. Step 3: Cross multiply
    27,938,284x = 41,735,367 × 41,735,367
  4. Step 4: Simplify right side
    27,938,284x = 1,741,840,858,624,689
  5. Step 5: Solve for x
    x = 1,741,840,858,624,689/27,938,284
  6. Step 6: Final answer
    x = 62,346,021.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.