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Finding the Third Proportional to 37,958,731,703 and 81,630,122,005

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Solution

The third proportional to 37,958,731,703 and 81,630,122,005 is: 175,545,296,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,958,731,703 : 81,630,122,005 = 81,630,122,005 : x
  2. Step 2: Convert to fraction form
    37,958,731,703/81,630,122,005 = 81,630,122,005/x
  3. Step 3: Cross multiply
    37,958,731,703x = 81,630,122,005 × 81,630,122,005
  4. Step 4: Simplify right side
    37,958,731,703x = 6,663,476,818,551,185,080,320
  5. Step 5: Solve for x
    x = 6,663,476,818,551,185,080,320/37,958,731,703
  6. Step 6: Final answer
    x = 175,545,296,683.99

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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.