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Finding the Third Proportional to 1,916,814,052 and 2,739,171,638

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Solution

The third proportional to 1,916,814,052 and 2,739,171,638 is: 3,914,339,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916,814,052 : 2,739,171,638 = 2,739,171,638 : x
  2. Step 2: Convert to fraction form
    1,916,814,052/2,739,171,638 = 2,739,171,638/x
  3. Step 3: Cross multiply
    1,916,814,052x = 2,739,171,638 × 2,739,171,638
  4. Step 4: Simplify right side
    1,916,814,052x = 7,503,061,262,423,603,200
  5. Step 5: Solve for x
    x = 7,503,061,262,423,603,200/1,916,814,052
  6. Step 6: Final answer
    x = 3,914,339,658.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.