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Finding the Third Proportional to 2,044,381,439 and 4,446,959,661

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Solution

The third proportional to 2,044,381,439 and 4,446,959,661 is: 9,673,072,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044,381,439 : 4,446,959,661 = 4,446,959,661 : x
  2. Step 2: Convert to fraction form
    2,044,381,439/4,446,959,661 = 4,446,959,661/x
  3. Step 3: Cross multiply
    2,044,381,439x = 4,446,959,661 × 4,446,959,661
  4. Step 4: Simplify right side
    2,044,381,439x = 19,775,450,226,561,232,896
  5. Step 5: Solve for x
    x = 19,775,450,226,561,232,896/2,044,381,439
  6. Step 6: Final answer
    x = 9,673,072,670.94

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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.