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Finding the Third Proportional to 48,914,304 and 73,494,720

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Solution

The third proportional to 48,914,304 and 73,494,720 is: 110,427,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,914,304 : 73,494,720 = 73,494,720 : x
  2. Step 2: Convert to fraction form
    48,914,304/73,494,720 = 73,494,720/x
  3. Step 3: Cross multiply
    48,914,304x = 73,494,720 × 73,494,720
  4. Step 4: Simplify right side
    48,914,304x = 5,401,473,867,878,400
  5. Step 5: Solve for x
    x = 5,401,473,867,878,400/48,914,304
  6. Step 6: Final answer
    x = 110,427,286.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.