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Finding the Third Proportional to 173,644,671,778 and 376,137,024,092

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Solution

The third proportional to 173,644,671,778 and 376,137,024,092 is: 814,761,889,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,644,671,778 : 376,137,024,092 = 376,137,024,092 : x
  2. Step 2: Convert to fraction form
    173,644,671,778/376,137,024,092 = 376,137,024,092/x
  3. Step 3: Cross multiply
    173,644,671,778x = 376,137,024,092 × 376,137,024,092
  4. Step 4: Simplify right side
    173,644,671,778x = 141,479,060,892,785,796,186,112
  5. Step 5: Solve for x
    x = 141,479,060,892,785,796,186,112/173,644,671,778
  6. Step 6: Final answer
    x = 814,761,889,576.80

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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.