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Finding the Third Proportional to 37,638,056 and 81,648,976

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Solution

The third proportional to 37,638,056 and 81,648,976 is: 177,122,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,638,056 : 81,648,976 = 81,648,976 : x
  2. Step 2: Convert to fraction form
    37,638,056/81,648,976 = 81,648,976/x
  3. Step 3: Cross multiply
    37,638,056x = 81,648,976 × 81,648,976
  4. Step 4: Simplify right side
    37,638,056x = 6,666,555,281,848,576
  5. Step 5: Solve for x
    x = 6,666,555,281,848,576/37,638,056
  6. Step 6: Final answer
    x = 177,122,731.36

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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.