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Finding the Third Proportional to 8,206,412,418 and 19,353,000,834

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Solution

The third proportional to 8,206,412,418 and 19,353,000,834 is: 45,639,753,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,412,418 : 19,353,000,834 = 19,353,000,834 : x
  2. Step 2: Convert to fraction form
    8,206,412,418/19,353,000,834 = 19,353,000,834/x
  3. Step 3: Cross multiply
    8,206,412,418x = 19,353,000,834 × 19,353,000,834
  4. Step 4: Simplify right side
    8,206,412,418x = 374,538,641,280,804,716,544
  5. Step 5: Solve for x
    x = 374,538,641,280,804,716,544/8,206,412,418
  6. Step 6: Final answer
    x = 45,639,753,671.08

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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.