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Finding the Third Proportional to 173,644,671,761 and 376,137,023,886

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Solution

The third proportional to 173,644,671,761 and 376,137,023,886 is: 814,761,888,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,644,671,761 : 376,137,023,886 = 376,137,023,886 : x
  2. Step 2: Convert to fraction form
    173,644,671,761/376,137,023,886 = 376,137,023,886/x
  3. Step 3: Cross multiply
    173,644,671,761x = 376,137,023,886 × 376,137,023,886
  4. Step 4: Simplify right side
    173,644,671,761x = 141,479,060,737,817,336,348,672
  5. Step 5: Solve for x
    x = 141,479,060,737,817,336,348,672/173,644,671,761
  6. Step 6: Final answer
    x = 814,761,888,764.12

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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.