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Finding the Third Proportional to 293,025,383,597 and 634,731,227,809

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Solution

The third proportional to 293,025,383,597 and 634,731,227,809 is: 1,374,910,687,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025,383,597 : 634,731,227,809 = 634,731,227,809 : x
  2. Step 2: Convert to fraction form
    293,025,383,597/634,731,227,809 = 634,731,227,809/x
  3. Step 3: Cross multiply
    293,025,383,597x = 634,731,227,809 × 634,731,227,809
  4. Step 4: Simplify right side
    293,025,383,597x = 402,883,731,555,920,635,756,544
  5. Step 5: Solve for x
    x = 402,883,731,555,920,635,756,544/293,025,383,597
  6. Step 6: Final answer
    x = 1,374,910,687,293.94

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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.