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Finding the Third Proportional to 84,174,462 and 180,880,443

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Solution

The third proportional to 84,174,462 and 180,880,443 is: 388,689,560.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174,462 : 180,880,443 = 180,880,443 : x
  2. Step 2: Convert to fraction form
    84,174,462/180,880,443 = 180,880,443/x
  3. Step 3: Cross multiply
    84,174,462x = 180,880,443 × 180,880,443
  4. Step 4: Simplify right side
    84,174,462x = 32,717,734,659,876,248
  5. Step 5: Solve for x
    x = 32,717,734,659,876,248/84,174,462
  6. Step 6: Final answer
    x = 388,689,560.73

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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.