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Finding the Third Proportional to 6,787,994,058 and 10,472,541,768

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Solution

The third proportional to 6,787,994,058 and 10,472,541,768 is: 16,157,075,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,994,058 : 10,472,541,768 = 10,472,541,768 : x
  2. Step 2: Convert to fraction form
    6,787,994,058/10,472,541,768 = 10,472,541,768/x
  3. Step 3: Cross multiply
    6,787,994,058x = 10,472,541,768 × 10,472,541,768
  4. Step 4: Simplify right side
    6,787,994,058x = 109,674,131,082,504,568,832
  5. Step 5: Solve for x
    x = 109,674,131,082,504,568,832/6,787,994,058
  6. Step 6: Final answer
    x = 16,157,075,292.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.