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Finding the Third Proportional to 1,667,736,192 and 3,664,366,080

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Solution

The third proportional to 1,667,736,192 and 3,664,366,080 is: 8,051,380,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667,736,192 : 3,664,366,080 = 3,664,366,080 : x
  2. Step 2: Convert to fraction form
    1,667,736,192/3,664,366,080 = 3,664,366,080/x
  3. Step 3: Cross multiply
    1,667,736,192x = 3,664,366,080 × 3,664,366,080
  4. Step 4: Simplify right side
    1,667,736,192x = 13,427,578,768,254,566,400
  5. Step 5: Solve for x
    x = 13,427,578,768,254,566,400/1,667,736,192
  6. Step 6: Final answer
    x = 8,051,380,567.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.