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Finding the Third Proportional to 8,206,412,393 and 19,353,000,771

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Solution

The third proportional to 8,206,412,393 and 19,353,000,771 is: 45,639,753,512.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206,412,393 : 19,353,000,771 = 19,353,000,771 : x
  2. Step 2: Convert to fraction form
    8,206,412,393/19,353,000,771 = 19,353,000,771/x
  3. Step 3: Cross multiply
    8,206,412,393x = 19,353,000,771 × 19,353,000,771
  4. Step 4: Simplify right side
    8,206,412,393x = 374,538,638,842,326,614,016
  5. Step 5: Solve for x
    x = 374,538,638,842,326,614,016/8,206,412,393
  6. Step 6: Final answer
    x = 45,639,753,512.97

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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.