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Finding the Third Proportional to 34,467,976 and 53,371,292

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Solution

The third proportional to 34,467,976 and 53,371,292 is: 82,641,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467,976 : 53,371,292 = 53,371,292 : x
  2. Step 2: Convert to fraction form
    34,467,976/53,371,292 = 53,371,292/x
  3. Step 3: Cross multiply
    34,467,976x = 53,371,292 × 53,371,292
  4. Step 4: Simplify right side
    34,467,976x = 2,848,494,809,749,264
  5. Step 5: Solve for x
    x = 2,848,494,809,749,264/34,467,976
  6. Step 6: Final answer
    x = 82,641,777.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.