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Finding the Third Proportional to 5,877,367,892 and 12,787,811,080

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Solution

The third proportional to 5,877,367,892 and 12,787,811,080 is: 27,823,358,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877,367,892 : 12,787,811,080 = 12,787,811,080 : x
  2. Step 2: Convert to fraction form
    5,877,367,892/12,787,811,080 = 12,787,811,080/x
  3. Step 3: Cross multiply
    5,877,367,892x = 12,787,811,080 × 12,787,811,080
  4. Step 4: Simplify right side
    5,877,367,892x = 163,528,112,217,770,754,048
  5. Step 5: Solve for x
    x = 163,528,112,217,770,754,048/5,877,367,892
  6. Step 6: Final answer
    x = 27,823,358,214.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.