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Finding the Third Proportional to 1,636,494,439 and 2,495,599,874

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Solution

The third proportional to 1,636,494,439 and 2,495,599,874 is: 3,805,707,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,494,439 : 2,495,599,874 = 2,495,599,874 : x
  2. Step 2: Convert to fraction form
    1,636,494,439/2,495,599,874 = 2,495,599,874/x
  3. Step 3: Cross multiply
    1,636,494,439x = 2,495,599,874 × 2,495,599,874
  4. Step 4: Simplify right side
    1,636,494,439x = 6,228,018,731,108,815,872
  5. Step 5: Solve for x
    x = 6,228,018,731,108,815,872/1,636,494,439
  6. Step 6: Final answer
    x = 3,805,707,237.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.