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Finding the Third Proportional to 578,876,609,091 and 875,760,060,003

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Solution

The third proportional to 578,876,609,091 and 875,760,060,003 is: 1,324,903,564,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,876,609,091 : 875,760,060,003 = 875,760,060,003 : x
  2. Step 2: Convert to fraction form
    578,876,609,091/875,760,060,003 = 875,760,060,003/x
  3. Step 3: Cross multiply
    578,876,609,091x = 875,760,060,003 × 875,760,060,003
  4. Step 4: Simplify right side
    578,876,609,091x = 766,955,682,696,458,112,335,872
  5. Step 5: Solve for x
    x = 766,955,682,696,458,112,335,872/578,876,609,091
  6. Step 6: Final answer
    x = 1,324,903,564,337.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.