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Finding the Third Proportional to 332,316,708 and 727,179,336

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Solution

The third proportional to 332,316,708 and 727,179,336 is: 1,591,222,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,316,708 : 727,179,336 = 727,179,336 : x
  2. Step 2: Convert to fraction form
    332,316,708/727,179,336 = 727,179,336/x
  3. Step 3: Cross multiply
    332,316,708x = 727,179,336 × 727,179,336
  4. Step 4: Simplify right side
    332,316,708x = 528,789,786,705,400,896
  5. Step 5: Solve for x
    x = 528,789,786,705,400,896/332,316,708
  6. Step 6: Final answer
    x = 1,591,222,391.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.