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Finding the Third Proportional to 1,822,676,147 and 3,976,524,225

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Solution

The third proportional to 1,822,676,147 and 3,976,524,225 is: 8,675,564,739.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,676,147 : 3,976,524,225 = 3,976,524,225 : x
  2. Step 2: Convert to fraction form
    1,822,676,147/3,976,524,225 = 3,976,524,225/x
  3. Step 3: Cross multiply
    1,822,676,147x = 3,976,524,225 × 3,976,524,225
  4. Step 4: Simplify right side
    1,822,676,147x = 15,812,744,912,011,849,728
  5. Step 5: Solve for x
    x = 15,812,744,912,011,849,728/1,822,676,147
  6. Step 6: Final answer
    x = 8,675,564,739.26

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Why These Related Problems?

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