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Finding the Third Proportional to 37,741,064 and 82,548,328

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Solution

The third proportional to 37,741,064 and 82,548,328 is: 180,552,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,741,064 : 82,548,328 = 82,548,328 : x
  2. Step 2: Convert to fraction form
    37,741,064/82,548,328 = 82,548,328/x
  3. Step 3: Cross multiply
    37,741,064x = 82,548,328 × 82,548,328
  4. Step 4: Simplify right side
    37,741,064x = 6,814,226,455,595,584
  5. Step 5: Solve for x
    x = 6,814,226,455,595,584/37,741,064
  6. Step 6: Final answer
    x = 180,552,049.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.