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Finding the Third Proportional to 51,016,873,028 and 71,811,693,206

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Solution

The third proportional to 51,016,873,028 and 71,811,693,206 is: 101,082,621,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016,873,028 : 71,811,693,206 = 71,811,693,206 : x
  2. Step 2: Convert to fraction form
    51,016,873,028/71,811,693,206 = 71,811,693,206/x
  3. Step 3: Cross multiply
    51,016,873,028x = 71,811,693,206 × 71,811,693,206
  4. Step 4: Simplify right side
    51,016,873,028x = 5,156,919,281,112,666,079,232
  5. Step 5: Solve for x
    x = 5,156,919,281,112,666,079,232/51,016,873,028
  6. Step 6: Final answer
    x = 101,082,621,788.33

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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.