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Finding the Third Proportional to 6,457,526,459,862 and 9,082,078,906,041

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Solution

The third proportional to 6,457,526,459,862 and 9,082,078,906,041 is: 12,773,336,318,209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,526,459,862 : 9,082,078,906,041 = 9,082,078,906,041 : x
  2. Step 2: Convert to fraction form
    6,457,526,459,862/9,082,078,906,041 = 9,082,078,906,041/x
  3. Step 3: Cross multiply
    6,457,526,459,862x = 9,082,078,906,041 × 9,082,078,906,041
  4. Step 4: Simplify right side
    6,457,526,459,862x = 82,484,157,255,554,882,888,269,824
  5. Step 5: Solve for x
    x = 82,484,157,255,554,882,888,269,824/6,457,526,459,862
  6. Step 6: Final answer
    x = 12,773,336,318,209.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.