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Finding the Third Proportional to 46,769,770,732 and 109,133,236,414

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Solution

The third proportional to 46,769,770,732 and 109,133,236,414 is: 254,653,018,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769,770,732 : 109,133,236,414 = 109,133,236,414 : x
  2. Step 2: Convert to fraction form
    46,769,770,732/109,133,236,414 = 109,133,236,414/x
  3. Step 3: Cross multiply
    46,769,770,732x = 109,133,236,414 × 109,133,236,414
  4. Step 4: Simplify right side
    46,769,770,732x = 11,910,063,290,194,015,027,200
  5. Step 5: Solve for x
    x = 11,910,063,290,194,015,027,200/46,769,770,732
  6. Step 6: Final answer
    x = 254,653,018,473.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.