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Finding the Third Proportional to 1,144,381,039 and 2,471,708,965

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Solution

The third proportional to 1,144,381,039 and 2,471,708,965 is: 5,338,558,573.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,381,039 : 2,471,708,965 = 2,471,708,965 : x
  2. Step 2: Convert to fraction form
    1,144,381,039/2,471,708,965 = 2,471,708,965/x
  3. Step 3: Cross multiply
    1,144,381,039x = 2,471,708,965 × 2,471,708,965
  4. Step 4: Simplify right side
    1,144,381,039x = 6,109,345,207,661,371,392
  5. Step 5: Solve for x
    x = 6,109,345,207,661,371,392/1,144,381,039
  6. Step 6: Final answer
    x = 5,338,558,573.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.