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Finding the Third Proportional to 685,790,992 and 1,504,766,960

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Solution

The third proportional to 685,790,992 and 1,504,766,960 is: 3,301,769,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,790,992 : 1,504,766,960 = 1,504,766,960 : x
  2. Step 2: Convert to fraction form
    685,790,992/1,504,766,960 = 1,504,766,960/x
  3. Step 3: Cross multiply
    685,790,992x = 1,504,766,960 × 1,504,766,960
  4. Step 4: Simplify right side
    685,790,992x = 2,264,323,603,907,641,600
  5. Step 5: Solve for x
    x = 2,264,323,603,907,641,600/685,790,992
  6. Step 6: Final answer
    x = 3,301,769,242.12

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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.