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Finding the Third Proportional to 37,439,334 and 80,466,534

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Solution

The third proportional to 37,439,334 and 80,466,534 is: 172,942,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439,334 : 80,466,534 = 80,466,534 : x
  2. Step 2: Convert to fraction form
    37,439,334/80,466,534 = 80,466,534/x
  3. Step 3: Cross multiply
    37,439,334x = 80,466,534 × 80,466,534
  4. Step 4: Simplify right side
    37,439,334x = 6,474,863,093,973,156
  5. Step 5: Solve for x
    x = 6,474,863,093,973,156/37,439,334
  6. Step 6: Final answer
    x = 172,942,795.78

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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.