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Finding the Third Proportional to 37,628,590 and 82,431,692

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Solution

The third proportional to 37,628,590 and 82,431,692 is: 180,580,347.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628,590 : 82,431,692 = 82,431,692 : x
  2. Step 2: Convert to fraction form
    37,628,590/82,431,692 = 82,431,692/x
  3. Step 3: Cross multiply
    37,628,590x = 82,431,692 × 82,431,692
  4. Step 4: Simplify right side
    37,628,590x = 6,794,983,845,982,864
  5. Step 5: Solve for x
    x = 6,794,983,845,982,864/37,628,590
  6. Step 6: Final answer
    x = 180,580,347.18

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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.