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Finding the Third Proportional to 363,992,759,764 and 791,340,404,993

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Solution

The third proportional to 363,992,759,764 and 791,340,404,993 is: 1,720,417,837,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,992,759,764 : 791,340,404,993 = 791,340,404,993 : x
  2. Step 2: Convert to fraction form
    363,992,759,764/791,340,404,993 = 791,340,404,993/x
  3. Step 3: Cross multiply
    363,992,759,764x = 791,340,404,993 × 791,340,404,993
  4. Step 4: Simplify right side
    363,992,759,764x = 626,219,636,574,485,246,640,128
  5. Step 5: Solve for x
    x = 626,219,636,574,485,246,640,128/363,992,759,764
  6. Step 6: Final answer
    x = 1,720,417,837,378.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.