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Finding the Third Proportional to 37,958,731,714 and 81,630,122,026

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Solution

The third proportional to 37,958,731,714 and 81,630,122,026 is: 175,545,296,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,714 : 81,630,122,026 = 81,630,122,026 : x
  2. Step 2: Convert to fraction form
    37,958,731,714/81,630,122,026 = 81,630,122,026/x
  3. Step 3: Cross multiply
    37,958,731,714x = 81,630,122,026 × 81,630,122,026
  4. Step 4: Simplify right side
    37,958,731,714x = 6,663,476,821,979,650,064,384
  5. Step 5: Solve for x
    x = 6,663,476,821,979,650,064,384/37,958,731,714
  6. Step 6: Final answer
    x = 175,545,296,723.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.