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Finding the Third Proportional to 293,025,383,601 and 634,731,227,817

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Solution

The third proportional to 293,025,383,601 and 634,731,227,817 is: 1,374,910,687,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025,383,601 : 634,731,227,817 = 634,731,227,817 : x
  2. Step 2: Convert to fraction form
    293,025,383,601/634,731,227,817 = 634,731,227,817/x
  3. Step 3: Cross multiply
    293,025,383,601x = 634,731,227,817 × 634,731,227,817
  4. Step 4: Simplify right side
    293,025,383,601x = 402,883,731,566,076,354,363,392
  5. Step 5: Solve for x
    x = 402,883,731,566,076,354,363,392/293,025,383,601
  6. Step 6: Final answer
    x = 1,374,910,687,309.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.