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Finding the Third Proportional to 331,254,864 and 696,777,669

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Solution

The third proportional to 331,254,864 and 696,777,669 is: 1,465,636,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,254,864 : 696,777,669 = 696,777,669 : x
  2. Step 2: Convert to fraction form
    331,254,864/696,777,669 = 696,777,669/x
  3. Step 3: Cross multiply
    331,254,864x = 696,777,669 × 696,777,669
  4. Step 4: Simplify right side
    331,254,864x = 485,499,120,017,073,536
  5. Step 5: Solve for x
    x = 485,499,120,017,073,536/331,254,864
  6. Step 6: Final answer
    x = 1,465,636,199.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.