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Finding the Third Proportional to 6,168,442,659.75 and 9,397,294,616.25

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Solution

The third proportional to 6,168,442,659.75 and 9,397,294,616.25 is: 14,316,278,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,442,659.75 : 9,397,294,616.25 = 9,397,294,616.25 : x
  2. Step 2: Convert to fraction form
    6,168,442,659.75/9,397,294,616.25 = 9,397,294,616.25/x
  3. Step 3: Cross multiply
    6,168,442,659.75x = 9,397,294,616.25 × 9,397,294,616.25
  4. Step 4: Simplify right side
    6,168,442,659.75x = 88,309,146,104,601,231,360
  5. Step 5: Solve for x
    x = 88,309,146,104,601,231,360/6,168,442,659.75
  6. Step 6: Final answer
    x = 14,316,278,998.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.