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Finding the Third Proportional to 182,753,703,015 and 400,811,149,758

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Solution

The third proportional to 182,753,703,015 and 400,811,149,758 is: 879,049,645,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,753,703,015 : 400,811,149,758 = 400,811,149,758 : x
  2. Step 2: Convert to fraction form
    182,753,703,015/400,811,149,758 = 400,811,149,758/x
  3. Step 3: Cross multiply
    182,753,703,015x = 400,811,149,758 × 400,811,149,758
  4. Step 4: Simplify right side
    182,753,703,015x = 160,649,577,770,329,900,580,864
  5. Step 5: Solve for x
    x = 160,649,577,770,329,900,580,864/182,753,703,015
  6. Step 6: Final answer
    x = 879,049,645,068.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.