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Finding the Third Proportional to 2,067,280,085 and 3,177,557,967

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Solution

The third proportional to 2,067,280,085 and 3,177,557,967 is: 4,884,134,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,067,280,085 : 3,177,557,967 = 3,177,557,967 : x
  2. Step 2: Convert to fraction form
    2,067,280,085/3,177,557,967 = 3,177,557,967/x
  3. Step 3: Cross multiply
    2,067,280,085x = 3,177,557,967 × 3,177,557,967
  4. Step 4: Simplify right side
    2,067,280,085x = 10,096,874,633,645,172,736
  5. Step 5: Solve for x
    x = 10,096,874,633,645,172,736/2,067,280,085
  6. Step 6: Final answer
    x = 4,884,134,814.10

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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.