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Finding the Third Proportional to 578,876,609,094 and 875,760,060,007

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Solution

The third proportional to 578,876,609,094 and 875,760,060,007 is: 1,324,903,564,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,876,609,094 : 875,760,060,007 = 875,760,060,007 : x
  2. Step 2: Convert to fraction form
    578,876,609,094/875,760,060,007 = 875,760,060,007/x
  3. Step 3: Cross multiply
    578,876,609,094x = 875,760,060,007 × 875,760,060,007
  4. Step 4: Simplify right side
    578,876,609,094x = 766,955,682,703,464,277,737,472
  5. Step 5: Solve for x
    x = 766,955,682,703,464,277,737,472/578,876,609,094
  6. Step 6: Final answer
    x = 1,324,903,564,343.06

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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.