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Finding the Third Proportional to 51,016,873,040 and 71,811,693,224

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Solution

The third proportional to 51,016,873,040 and 71,811,693,224 is: 101,082,621,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016,873,040 : 71,811,693,224 = 71,811,693,224 : x
  2. Step 2: Convert to fraction form
    51,016,873,040/71,811,693,224 = 71,811,693,224/x
  3. Step 3: Cross multiply
    51,016,873,040x = 71,811,693,224 × 71,811,693,224
  4. Step 4: Simplify right side
    51,016,873,040x = 5,156,919,283,697,887,215,616
  5. Step 5: Solve for x
    x = 5,156,919,283,697,887,215,616/51,016,873,040
  6. Step 6: Final answer
    x = 101,082,621,815.23

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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.