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Finding the Third Proportional to 3,178,257,194 and 6,842,251,156

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Solution

The third proportional to 3,178,257,194 and 6,842,251,156 is: 14,730,211,566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,257,194 : 6,842,251,156 = 6,842,251,156 : x
  2. Step 2: Convert to fraction form
    3,178,257,194/6,842,251,156 = 6,842,251,156/x
  3. Step 3: Cross multiply
    3,178,257,194x = 6,842,251,156 × 6,842,251,156
  4. Step 4: Simplify right side
    3,178,257,194x = 46,816,400,881,783,332,864
  5. Step 5: Solve for x
    x = 46,816,400,881,783,332,864/3,178,257,194
  6. Step 6: Final answer
    x = 14,730,211,566.94

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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.