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Finding the Third Proportional to 2,875,086,968 and 4,416,485,292

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Solution

The third proportional to 2,875,086,968 and 4,416,485,292 is: 6,784,261,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875,086,968 : 4,416,485,292 = 4,416,485,292 : x
  2. Step 2: Convert to fraction form
    2,875,086,968/4,416,485,292 = 4,416,485,292/x
  3. Step 3: Cross multiply
    2,875,086,968x = 4,416,485,292 × 4,416,485,292
  4. Step 4: Simplify right side
    2,875,086,968x = 19,505,342,334,452,326,400
  5. Step 5: Solve for x
    x = 19,505,342,334,452,326,400/2,875,086,968
  6. Step 6: Final answer
    x = 6,784,261,676.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.