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Finding the Third Proportional to 1,767,944,098 and 3,849,770,538

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Solution

The third proportional to 1,767,944,098 and 3,849,770,538 is: 8,383,032,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,944,098 : 3,849,770,538 = 3,849,770,538 : x
  2. Step 2: Convert to fraction form
    1,767,944,098/3,849,770,538 = 3,849,770,538/x
  3. Step 3: Cross multiply
    1,767,944,098x = 3,849,770,538 × 3,849,770,538
  4. Step 4: Simplify right side
    1,767,944,098x = 14,820,733,195,252,809,728
  5. Step 5: Solve for x
    x = 14,820,733,195,252,809,728/1,767,944,098
  6. Step 6: Final answer
    x = 8,383,032,705.63

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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.