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Finding the Third Proportional to 366,292,983.38 and 785,759,375.25

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Solution

The third proportional to 366,292,983.38 and 785,759,375.25 is: 1,685,584,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,292,983.38 : 785,759,375.25 = 785,759,375.25 : x
  2. Step 2: Convert to fraction form
    366,292,983.38/785,759,375.25 = 785,759,375.25/x
  3. Step 3: Cross multiply
    366,292,983.38x = 785,759,375.25 × 785,759,375.25
  4. Step 4: Simplify right side
    366,292,983.38x = 617,417,795,793,270,272
  5. Step 5: Solve for x
    x = 617,417,795,793,270,272/366,292,983.38
  6. Step 6: Final answer
    x = 1,685,584,556.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.