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Finding the Third Proportional to 4,381,777,588 and 6,787,268,760

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Solution

The third proportional to 4,381,777,588 and 6,787,268,760 is: 10,513,317,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381,777,588 : 6,787,268,760 = 6,787,268,760 : x
  2. Step 2: Convert to fraction form
    4,381,777,588/6,787,268,760 = 6,787,268,760/x
  3. Step 3: Cross multiply
    4,381,777,588x = 6,787,268,760 × 6,787,268,760
  4. Step 4: Simplify right side
    4,381,777,588x = 46,067,017,220,471,939,072
  5. Step 5: Solve for x
    x = 46,067,017,220,471,939,072/4,381,777,588
  6. Step 6: Final answer
    x = 10,513,317,094.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.