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Finding the Third Proportional to 37,412,796 and 80,395,056

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Solution

The third proportional to 37,412,796 and 80,395,056 is: 172,758,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412,796 : 80,395,056 = 80,395,056 : x
  2. Step 2: Convert to fraction form
    37,412,796/80,395,056 = 80,395,056/x
  3. Step 3: Cross multiply
    37,412,796x = 80,395,056 × 80,395,056
  4. Step 4: Simplify right side
    37,412,796x = 6,463,365,029,243,136
  5. Step 5: Solve for x
    x = 6,463,365,029,243,136/37,412,796
  6. Step 6: Final answer
    x = 172,758,139.47

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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.