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Finding the Third Proportional to 84,729,262 and 182,895,452

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Solution

The third proportional to 84,729,262 and 182,895,452 is: 394,795,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729,262 : 182,895,452 = 182,895,452 : x
  2. Step 2: Convert to fraction form
    84,729,262/182,895,452 = 182,895,452/x
  3. Step 3: Cross multiply
    84,729,262x = 182,895,452 × 182,895,452
  4. Step 4: Simplify right side
    84,729,262x = 33,450,746,362,284,304
  5. Step 5: Solve for x
    x = 33,450,746,362,284,304/84,729,262
  6. Step 6: Final answer
    x = 394,795,677.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.