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Finding the Third Proportional to 1,724,946,831 and 3,752,122,195

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Solution

The third proportional to 1,724,946,831 and 3,752,122,195 is: 8,161,655,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946,831 : 3,752,122,195 = 3,752,122,195 : x
  2. Step 2: Convert to fraction form
    1,724,946,831/3,752,122,195 = 3,752,122,195/x
  3. Step 3: Cross multiply
    1,724,946,831x = 3,752,122,195 × 3,752,122,195
  4. Step 4: Simplify right side
    1,724,946,831x = 14,078,420,966,211,618,816
  5. Step 5: Solve for x
    x = 14,078,420,966,211,618,816/1,724,946,831
  6. Step 6: Final answer
    x = 8,161,655,022.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.