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Finding the Third Proportional to 337,951,691,208 and 716,195,113,268

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Solution

The third proportional to 337,951,691,208 and 716,195,113,268 is: 1,517,777,403,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,951,691,208 : 716,195,113,268 = 716,195,113,268 : x
  2. Step 2: Convert to fraction form
    337,951,691,208/716,195,113,268 = 716,195,113,268/x
  3. Step 3: Cross multiply
    337,951,691,208x = 716,195,113,268 × 716,195,113,268
  4. Step 4: Simplify right side
    337,951,691,208x = 512,935,440,268,963,344,285,696
  5. Step 5: Solve for x
    x = 512,935,440,268,963,344,285,696/337,951,691,208
  6. Step 6: Final answer
    x = 1,517,777,403,141.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.