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Finding the Third Proportional to 8,206,412,382 and 19,353,000,744

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Solution

The third proportional to 8,206,412,382 and 19,353,000,744 is: 45,639,753,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,412,382 : 19,353,000,744 = 19,353,000,744 : x
  2. Step 2: Convert to fraction form
    8,206,412,382/19,353,000,744 = 19,353,000,744/x
  3. Step 3: Cross multiply
    8,206,412,382x = 19,353,000,744 × 19,353,000,744
  4. Step 4: Simplify right side
    8,206,412,382x = 374,538,637,797,264,523,264
  5. Step 5: Solve for x
    x = 374,538,637,797,264,523,264/8,206,412,382
  6. Step 6: Final answer
    x = 45,639,753,446.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.