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Finding the Third Proportional to 311,016,026 and 668,188,346

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Solution

The third proportional to 311,016,026 and 668,188,346 is: 1,435,539,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,016,026 : 668,188,346 = 668,188,346 : x
  2. Step 2: Convert to fraction form
    311,016,026/668,188,346 = 668,188,346/x
  3. Step 3: Cross multiply
    311,016,026x = 668,188,346 × 668,188,346
  4. Step 4: Simplify right side
    311,016,026x = 446,475,665,730,215,744
  5. Step 5: Solve for x
    x = 446,475,665,730,215,744/311,016,026
  6. Step 6: Final answer
    x = 1,435,539,098.97

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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.