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Finding the Third Proportional to 1,216,252,134 and 2,655,443,763

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Solution

The third proportional to 1,216,252,134 and 2,655,443,763 is: 5,797,631,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,252,134 : 2,655,443,763 = 2,655,443,763 : x
  2. Step 2: Convert to fraction form
    1,216,252,134/2,655,443,763 = 2,655,443,763/x
  3. Step 3: Cross multiply
    1,216,252,134x = 2,655,443,763 × 2,655,443,763
  4. Step 4: Simplify right side
    1,216,252,134x = 7,051,381,578,455,600,128
  5. Step 5: Solve for x
    x = 7,051,381,578,455,600,128/1,216,252,134
  6. Step 6: Final answer
    x = 5,797,631,413.20

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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.