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Finding the Third Proportional to 37,740,913 and 82,548,009

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Solution

The third proportional to 37,740,913 and 82,548,009 is: 180,551,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,740,913 : 82,548,009 = 82,548,009 : x
  2. Step 2: Convert to fraction form
    37,740,913/82,548,009 = 82,548,009/x
  3. Step 3: Cross multiply
    37,740,913x = 82,548,009 × 82,548,009
  4. Step 4: Simplify right side
    37,740,913x = 6,814,173,789,864,081
  5. Step 5: Solve for x
    x = 6,814,173,789,864,081/37,740,913
  6. Step 6: Final answer
    x = 180,551,376.43

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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.