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Finding the Third Proportional to 37,915,324 and 81,670,962

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Solution

The third proportional to 37,915,324 and 81,670,962 is: 175,922,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915,324 : 81,670,962 = 81,670,962 : x
  2. Step 2: Convert to fraction form
    37,915,324/81,670,962 = 81,670,962/x
  3. Step 3: Cross multiply
    37,915,324x = 81,670,962 × 81,670,962
  4. Step 4: Simplify right side
    37,915,324x = 6,670,146,034,005,444
  5. Step 5: Solve for x
    x = 6,670,146,034,005,444/37,915,324
  6. Step 6: Final answer
    x = 175,922,168.94

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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.