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Finding the Third Proportional to 18,191,673,473,304 and 40,450,745,519,760

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Solution

The third proportional to 18,191,673,473,304 and 40,450,745,519,760 is: 89,945,700,460,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,191,673,473,304 : 40,450,745,519,760 = 40,450,745,519,760 : x
  2. Step 2: Convert to fraction form
    18,191,673,473,304/40,450,745,519,760 = 40,450,745,519,760/x
  3. Step 3: Cross multiply
    18,191,673,473,304x = 40,450,745,519,760 × 40,450,745,519,760
  4. Step 4: Simplify right side
    18,191,673,473,304x = 1,636,262,813,104,383,625,321,775,104
  5. Step 5: Solve for x
    x = 1,636,262,813,104,383,625,321,775,104/18,191,673,473,304
  6. Step 6: Final answer
    x = 89,945,700,460,464.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.