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Finding the Third Proportional to 1,162,853,082 and 1,787,385,393

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Solution

The third proportional to 1,162,853,082 and 1,787,385,393 is: 2,747,334,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,853,082 : 1,787,385,393 = 1,787,385,393 : x
  2. Step 2: Convert to fraction form
    1,162,853,082/1,787,385,393 = 1,787,385,393/x
  3. Step 3: Cross multiply
    1,162,853,082x = 1,787,385,393 × 1,787,385,393
  4. Step 4: Simplify right side
    1,162,853,082x = 3,194,746,543,109,764,608
  5. Step 5: Solve for x
    x = 3,194,746,543,109,764,608/1,162,853,082
  6. Step 6: Final answer
    x = 2,747,334,631.14

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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.