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Finding the Third Proportional to 2,044,381,474 and 4,446,959,732

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Solution

The third proportional to 2,044,381,474 and 4,446,959,732 is: 9,673,072,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,381,474 : 4,446,959,732 = 4,446,959,732 : x
  2. Step 2: Convert to fraction form
    2,044,381,474/4,446,959,732 = 4,446,959,732/x
  3. Step 3: Cross multiply
    2,044,381,474x = 4,446,959,732 × 4,446,959,732
  4. Step 4: Simplify right side
    2,044,381,474x = 19,775,450,858,029,510,656
  5. Step 5: Solve for x
    x = 19,775,450,858,029,510,656/2,044,381,474
  6. Step 6: Final answer
    x = 9,673,072,814.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.