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Finding the Third Proportional to 32,904,293,256 and 50,127,414,732

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Solution

The third proportional to 32,904,293,256 and 50,127,414,732 is: 76,365,648,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904,293,256 : 50,127,414,732 = 50,127,414,732 : x
  2. Step 2: Convert to fraction form
    32,904,293,256/50,127,414,732 = 50,127,414,732/x
  3. Step 3: Cross multiply
    32,904,293,256x = 50,127,414,732 × 50,127,414,732
  4. Step 4: Simplify right side
    32,904,293,256x = 2,512,757,707,713,930,592,256
  5. Step 5: Solve for x
    x = 2,512,757,707,713,930,592,256/32,904,293,256
  6. Step 6: Final answer
    x = 76,365,648,949.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.