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Finding the Third Proportional to 2,598,992,814 and 5,674,245,204

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Solution

The third proportional to 2,598,992,814 and 5,674,245,204 is: 12,388,283,053.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,992,814 : 5,674,245,204 = 5,674,245,204 : x
  2. Step 2: Convert to fraction form
    2,598,992,814/5,674,245,204 = 5,674,245,204/x
  3. Step 3: Cross multiply
    2,598,992,814x = 5,674,245,204 × 5,674,245,204
  4. Step 4: Simplify right side
    2,598,992,814x = 32,197,058,635,117,002,752
  5. Step 5: Solve for x
    x = 32,197,058,635,117,002,752/2,598,992,814
  6. Step 6: Final answer
    x = 12,388,283,053.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.