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Finding the Third Proportional to 37,056,216 and 80,491,490

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Solution

The third proportional to 37,056,216 and 80,491,490 is: 174,839,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,216 : 80,491,490 = 80,491,490 : x
  2. Step 2: Convert to fraction form
    37,056,216/80,491,490 = 80,491,490/x
  3. Step 3: Cross multiply
    37,056,216x = 80,491,490 × 80,491,490
  4. Step 4: Simplify right side
    37,056,216x = 6,478,879,962,420,100
  5. Step 5: Solve for x
    x = 6,478,879,962,420,100/37,056,216
  6. Step 6: Final answer
    x = 174,839,221.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.