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Finding the Third Proportional to 51,016,873,034 and 71,811,693,214

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Solution

The third proportional to 51,016,873,034 and 71,811,693,214 is: 101,082,621,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016,873,034 : 71,811,693,214 = 71,811,693,214 : x
  2. Step 2: Convert to fraction form
    51,016,873,034/71,811,693,214 = 71,811,693,214/x
  3. Step 3: Cross multiply
    51,016,873,034x = 71,811,693,214 × 71,811,693,214
  4. Step 4: Simplify right side
    51,016,873,034x = 5,156,919,282,261,653,716,992
  5. Step 5: Solve for x
    x = 5,156,919,282,261,653,716,992/51,016,873,034
  6. Step 6: Final answer
    x = 101,082,621,798.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.