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Finding the Third Proportional to 7,579,625,742 and 16,902,053,073

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Solution

The third proportional to 7,579,625,742 and 16,902,053,073 is: 37,690,435,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,625,742 : 16,902,053,073 = 16,902,053,073 : x
  2. Step 2: Convert to fraction form
    7,579,625,742/16,902,053,073 = 16,902,053,073/x
  3. Step 3: Cross multiply
    7,579,625,742x = 16,902,053,073 × 16,902,053,073
  4. Step 4: Simplify right side
    7,579,625,742x = 285,679,398,082,508,750,848
  5. Step 5: Solve for x
    x = 285,679,398,082,508,750,848/7,579,625,742
  6. Step 6: Final answer
    x = 37,690,435,887.82

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.