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Finding the Third Proportional to 311,016,024 and 668,188,342.13

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Solution

The third proportional to 311,016,024 and 668,188,342.13 is: 1,435,539,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,016,024 : 668,188,342.13 = 668,188,342.13 : x
  2. Step 2: Convert to fraction form
    311,016,024/668,188,342.13 = 668,188,342.13/x
  3. Step 3: Cross multiply
    311,016,024x = 668,188,342.13 × 668,188,342.13
  4. Step 4: Simplify right side
    311,016,024x = 446,475,660,551,756,032
  5. Step 5: Solve for x
    x = 446,475,660,551,756,032/311,016,024
  6. Step 6: Final answer
    x = 1,435,539,091.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.