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Finding the Third Proportional to 173,644,671,690 and 376,137,023,742

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Solution

The third proportional to 173,644,671,690 and 376,137,023,742 is: 814,761,888,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,644,671,690 : 376,137,023,742 = 376,137,023,742 : x
  2. Step 2: Convert to fraction form
    173,644,671,690/376,137,023,742 = 376,137,023,742/x
  3. Step 3: Cross multiply
    173,644,671,690x = 376,137,023,742 × 376,137,023,742
  4. Step 4: Simplify right side
    173,644,671,690x = 141,479,060,629,489,872,535,552
  5. Step 5: Solve for x
    x = 141,479,060,629,489,872,535,552/173,644,671,690
  6. Step 6: Final answer
    x = 814,761,888,473.41

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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.