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Finding the Third Proportional to 293,025,383,602 and 634,731,227,818

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Solution

The third proportional to 293,025,383,602 and 634,731,227,818 is: 1,374,910,687,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025,383,602 : 634,731,227,818 = 634,731,227,818 : x
  2. Step 2: Convert to fraction form
    293,025,383,602/634,731,227,818 = 634,731,227,818/x
  3. Step 3: Cross multiply
    293,025,383,602x = 634,731,227,818 × 634,731,227,818
  4. Step 4: Simplify right side
    293,025,383,602x = 402,883,731,567,345,785,634,816
  5. Step 5: Solve for x
    x = 402,883,731,567,345,785,634,816/293,025,383,602
  6. Step 6: Final answer
    x = 1,374,910,687,309.47

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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.