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Finding the Third Proportional to 33,997,878 and 51,281,451

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Solution

The third proportional to 33,997,878 and 51,281,451 is: 77,351,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997,878 : 51,281,451 = 51,281,451 : x
  2. Step 2: Convert to fraction form
    33,997,878/51,281,451 = 51,281,451/x
  3. Step 3: Cross multiply
    33,997,878x = 51,281,451 × 51,281,451
  4. Step 4: Simplify right side
    33,997,878x = 2,629,787,216,665,401
  5. Step 5: Solve for x
    x = 2,629,787,216,665,401/33,997,878
  6. Step 6: Final answer
    x = 77,351,510.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.