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Finding the Third Proportional to 6,457,526,459,892 and 9,082,078,906,080

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Solution

The third proportional to 6,457,526,459,892 and 9,082,078,906,080 is: 12,773,336,318,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,526,459,892 : 9,082,078,906,080 = 9,082,078,906,080 : x
  2. Step 2: Convert to fraction form
    6,457,526,459,892/9,082,078,906,080 = 9,082,078,906,080/x
  3. Step 3: Cross multiply
    6,457,526,459,892x = 9,082,078,906,080 × 9,082,078,906,080
  4. Step 4: Simplify right side
    6,457,526,459,892x = 82,484,157,256,263,294,794,072,064
  5. Step 5: Solve for x
    x = 82,484,157,256,263,294,794,072,064/6,457,526,459,892
  6. Step 6: Final answer
    x = 12,773,336,318,259.98

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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.