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Finding the Third Proportional to 1,743,480,366 and 3,719,722,128

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Solution

The third proportional to 1,743,480,366 and 3,719,722,128 is: 7,936,041,597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743,480,366 : 3,719,722,128 = 3,719,722,128 : x
  2. Step 2: Convert to fraction form
    1,743,480,366/3,719,722,128 = 3,719,722,128/x
  3. Step 3: Cross multiply
    1,743,480,366x = 3,719,722,128 × 3,719,722,128
  4. Step 4: Simplify right side
    1,743,480,366x = 13,836,332,709,532,848,128
  5. Step 5: Solve for x
    x = 13,836,332,709,532,848,128/1,743,480,366
  6. Step 6: Final answer
    x = 7,936,041,597.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.