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Finding the Third Proportional to 293,025,383,482 and 634,731,227,578

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Solution

The third proportional to 293,025,383,482 and 634,731,227,578 is: 1,374,910,686,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025,383,482 : 634,731,227,578 = 634,731,227,578 : x
  2. Step 2: Convert to fraction form
    293,025,383,482/634,731,227,578 = 634,731,227,578/x
  3. Step 3: Cross multiply
    293,025,383,482x = 634,731,227,578 × 634,731,227,578
  4. Step 4: Simplify right side
    293,025,383,482x = 402,883,731,262,674,831,409,152
  5. Step 5: Solve for x
    x = 402,883,731,262,674,831,409,152/293,025,383,482
  6. Step 6: Final answer
    x = 1,374,910,686,832.78

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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.