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Finding the Third Proportional to 173,644,671,774 and 376,137,024,084

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Solution

The third proportional to 173,644,671,774 and 376,137,024,084 is: 814,761,889,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,644,671,774 : 376,137,024,084 = 376,137,024,084 : x
  2. Step 2: Convert to fraction form
    173,644,671,774/376,137,024,084 = 376,137,024,084/x
  3. Step 3: Cross multiply
    173,644,671,774x = 376,137,024,084 × 376,137,024,084
  4. Step 4: Simplify right side
    173,644,671,774x = 141,479,060,886,767,590,703,104
  5. Step 5: Solve for x
    x = 141,479,060,886,767,590,703,104/173,644,671,774
  6. Step 6: Final answer
    x = 814,761,889,560.91

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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.