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Finding the Third Proportional to 4,335,738,763 and 6,899,012,721

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Solution

The third proportional to 4,335,738,763 and 6,899,012,721 is: 10,977,685,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335,738,763 : 6,899,012,721 = 6,899,012,721 : x
  2. Step 2: Convert to fraction form
    4,335,738,763/6,899,012,721 = 6,899,012,721/x
  3. Step 3: Cross multiply
    4,335,738,763x = 6,899,012,721 × 6,899,012,721
  4. Step 4: Simplify right side
    4,335,738,763x = 47,596,376,524,519,825,408
  5. Step 5: Solve for x
    x = 47,596,376,524,519,825,408/4,335,738,763
  6. Step 6: Final answer
    x = 10,977,685,494.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.