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Finding the Third Proportional to 1,747,408,977 and 3,754,161,101.25

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Solution

The third proportional to 1,747,408,977 and 3,754,161,101.25 is: 8,065,499,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747,408,977 : 3,754,161,101.25 = 3,754,161,101.25 : x
  2. Step 2: Convert to fraction form
    1,747,408,977/3,754,161,101.25 = 3,754,161,101.25/x
  3. Step 3: Cross multiply
    1,747,408,977x = 3,754,161,101.25 × 3,754,161,101.25
  4. Step 4: Simplify right side
    1,747,408,977x = 14,093,725,574,138,613,760
  5. Step 5: Solve for x
    x = 14,093,725,574,138,613,760/1,747,408,977
  6. Step 6: Final answer
    x = 8,065,499,124.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.