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Finding the Third Proportional to 37,254,100 and 81,433,880

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Solution

The third proportional to 37,254,100 and 81,433,880 is: 178,006,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,254,100 : 81,433,880 = 81,433,880 : x
  2. Step 2: Convert to fraction form
    37,254,100/81,433,880 = 81,433,880/x
  3. Step 3: Cross multiply
    37,254,100x = 81,433,880 × 81,433,880
  4. Step 4: Simplify right side
    37,254,100x = 6,631,476,811,854,400
  5. Step 5: Solve for x
    x = 6,631,476,811,854,400/37,254,100
  6. Step 6: Final answer
    x = 178,006,630.46

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Why These Related Problems?

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