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Finding the Third Proportional to 1,216,252,014 and 2,655,443,538

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Solution

The third proportional to 1,216,252,014 and 2,655,443,538 is: 5,797,631,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,252,014 : 2,655,443,538 = 2,655,443,538 : x
  2. Step 2: Convert to fraction form
    1,216,252,014/2,655,443,538 = 2,655,443,538/x
  3. Step 3: Cross multiply
    1,216,252,014x = 2,655,443,538 × 2,655,443,538
  4. Step 4: Simplify right side
    1,216,252,014x = 7,051,380,383,505,957,888
  5. Step 5: Solve for x
    x = 7,051,380,383,505,957,888/1,216,252,014
  6. Step 6: Final answer
    x = 5,797,631,002.74

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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.