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Finding the Third Proportional to 1,368,672,082 and 2,809,900,917

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Solution

The third proportional to 1,368,672,082 and 2,809,900,917 is: 5,768,761,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,672,082 : 2,809,900,917 = 2,809,900,917 : x
  2. Step 2: Convert to fraction form
    1,368,672,082/2,809,900,917 = 2,809,900,917/x
  3. Step 3: Cross multiply
    1,368,672,082x = 2,809,900,917 × 2,809,900,917
  4. Step 4: Simplify right side
    1,368,672,082x = 7,895,543,163,357,441,024
  5. Step 5: Solve for x
    x = 7,895,543,163,357,441,024/1,368,672,082
  6. Step 6: Final answer
    x = 5,768,761,756.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.