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Finding the Third Proportional to 3,486,960,732 and 7,439,444,256

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Solution

The third proportional to 3,486,960,732 and 7,439,444,256 is: 15,872,083,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486,960,732 : 7,439,444,256 = 7,439,444,256 : x
  2. Step 2: Convert to fraction form
    3,486,960,732/7,439,444,256 = 7,439,444,256/x
  3. Step 3: Cross multiply
    3,486,960,732x = 7,439,444,256 × 7,439,444,256
  4. Step 4: Simplify right side
    3,486,960,732x = 55,345,330,838,131,392,512
  5. Step 5: Solve for x
    x = 55,345,330,838,131,392,512/3,486,960,732
  6. Step 6: Final answer
    x = 15,872,083,195.61

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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.