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Finding the Third Proportional to 8,883,637,872,262 and 19,344,383,581,022

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Solution

The third proportional to 8,883,637,872,262 and 19,344,383,581,022 is: 42,122,966,009,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,883,637,872,262 : 19,344,383,581,022 = 19,344,383,581,022 : x
  2. Step 2: Convert to fraction form
    8,883,637,872,262/19,344,383,581,022 = 19,344,383,581,022/x
  3. Step 3: Cross multiply
    8,883,637,872,262x = 19,344,383,581,022 × 19,344,383,581,022
  4. Step 4: Simplify right side
    8,883,637,872,262x = 374,205,176,129,713,511,761,707,008
  5. Step 5: Solve for x
    x = 374,205,176,129,713,511,761,707,008/8,883,637,872,262
  6. Step 6: Final answer
    x = 42,122,966,009,017.59

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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.