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Finding the Third Proportional to 37,056,200 and 80,491,470

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Solution

The third proportional to 37,056,200 and 80,491,470 is: 174,839,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,056,200 : 80,491,470 = 80,491,470 : x
  2. Step 2: Convert to fraction form
    37,056,200/80,491,470 = 80,491,470/x
  3. Step 3: Cross multiply
    37,056,200x = 80,491,470 × 80,491,470
  4. Step 4: Simplify right side
    37,056,200x = 6,478,876,742,760,900
  5. Step 5: Solve for x
    x = 6,478,876,742,760,900/37,056,200
  6. Step 6: Final answer
    x = 174,839,210.25

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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.