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Finding the Third Proportional to 2,044,381,569 and 4,446,959,877

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Solution

The third proportional to 2,044,381,569 and 4,446,959,877 is: 9,673,072,995.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,381,569 : 4,446,959,877 = 4,446,959,877 : x
  2. Step 2: Convert to fraction form
    2,044,381,569/4,446,959,877 = 4,446,959,877/x
  3. Step 3: Cross multiply
    2,044,381,569x = 4,446,959,877 × 4,446,959,877
  4. Step 4: Simplify right side
    2,044,381,569x = 19,775,452,147,647,856,640
  5. Step 5: Solve for x
    x = 19,775,452,147,647,856,640/2,044,381,569
  6. Step 6: Final answer
    x = 9,673,072,995.53

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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.