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Finding the Third Proportional to 671,933,799 and 1,466,954,671.50

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Solution

The third proportional to 671,933,799 and 1,466,954,671.50 is: 3,202,630,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,933,799 : 1,466,954,671.50 = 1,466,954,671.50 : x
  2. Step 2: Convert to fraction form
    671,933,799/1,466,954,671.50 = 1,466,954,671.50/x
  3. Step 3: Cross multiply
    671,933,799x = 1,466,954,671.50 × 1,466,954,671.50
  4. Step 4: Simplify right side
    671,933,799x = 2,151,956,008,235,672,832
  5. Step 5: Solve for x
    x = 2,151,956,008,235,672,832/671,933,799
  6. Step 6: Final answer
    x = 3,202,630,990.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.