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Finding the Third Proportional to 6,522,107,082,198 and 9,726,601,651,095

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Solution

The third proportional to 6,522,107,082,198 and 9,726,601,651,095 is: 14,505,554,491,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522,107,082,198 : 9,726,601,651,095 = 9,726,601,651,095 : x
  2. Step 2: Convert to fraction form
    6,522,107,082,198/9,726,601,651,095 = 9,726,601,651,095/x
  3. Step 3: Cross multiply
    6,522,107,082,198x = 9,726,601,651,095 × 9,726,601,651,095
  4. Step 4: Simplify right side
    6,522,107,082,198x = 94,606,779,679,083,977,271,934,976
  5. Step 5: Solve for x
    x = 94,606,779,679,083,977,271,934,976/6,522,107,082,198
  6. Step 6: Final answer
    x = 14,505,554,491,325.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.