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Finding the Third Proportional to 331,189,790,017.50 and 720,407,458,390.50

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Solution

The third proportional to 331,189,790,017.50 and 720,407,458,390.50 is: 1,567,037,758,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,189,790,017.50 : 720,407,458,390.50 = 720,407,458,390.50 : x
  2. Step 2: Convert to fraction form
    331,189,790,017.50/720,407,458,390.50 = 720,407,458,390.50/x
  3. Step 3: Cross multiply
    331,189,790,017.50x = 720,407,458,390.50 × 720,407,458,390.50
  4. Step 4: Simplify right side
    331,189,790,017.50x = 518,986,906,104,660,007,845,888
  5. Step 5: Solve for x
    x = 518,986,906,104,660,007,845,888/331,189,790,017.50
  6. Step 6: Final answer
    x = 1,567,037,758,251.05

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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.