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Finding the Third Proportional to 34,664,848 and 75,115,040

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Solution

The third proportional to 34,664,848 and 75,115,040 is: 162,766,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,664,848 : 75,115,040 = 75,115,040 : x
  2. Step 2: Convert to fraction form
    34,664,848/75,115,040 = 75,115,040/x
  3. Step 3: Cross multiply
    34,664,848x = 75,115,040 × 75,115,040
  4. Step 4: Simplify right side
    34,664,848x = 5,642,269,234,201,600
  5. Step 5: Solve for x
    x = 5,642,269,234,201,600/34,664,848
  6. Step 6: Final answer
    x = 162,766,305.34

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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.