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Finding the Third Proportional to 1,061,637,082.03 and 2,327,347,508.06

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Solution

The third proportional to 1,061,637,082.03 and 2,327,347,508.06 is: 5,102,069,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,637,082.03 : 2,327,347,508.06 = 2,327,347,508.06 : x
  2. Step 2: Convert to fraction form
    1,061,637,082.03/2,327,347,508.06 = 2,327,347,508.06/x
  3. Step 3: Cross multiply
    1,061,637,082.03x = 2,327,347,508.06 × 2,327,347,508.06
  4. Step 4: Simplify right side
    1,061,637,082.03x = 5,416,546,423,284,728,832
  5. Step 5: Solve for x
    x = 5,416,546,423,284,728,832/1,061,637,082.03
  6. Step 6: Final answer
    x = 5,102,069,732.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.