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Finding the Third Proportional to 7,579,625,724 and 16,902,053,037

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Solution

The third proportional to 7,579,625,724 and 16,902,053,037 is: 37,690,435,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,625,724 : 16,902,053,037 = 16,902,053,037 : x
  2. Step 2: Convert to fraction form
    7,579,625,724/16,902,053,037 = 16,902,053,037/x
  3. Step 3: Cross multiply
    7,579,625,724x = 16,902,053,037 × 16,902,053,037
  4. Step 4: Simplify right side
    7,579,625,724x = 285,679,396,865,560,936,448
  5. Step 5: Solve for x
    x = 285,679,396,865,560,936,448/7,579,625,724
  6. Step 6: Final answer
    x = 37,690,435,816.77

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Why These Related Problems?

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