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Finding the Third Proportional to 37,839,462 and 83,003,916

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Solution

The third proportional to 37,839,462 and 83,003,916 is: 182,075,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,839,462 : 83,003,916 = 83,003,916 : x
  2. Step 2: Convert to fraction form
    37,839,462/83,003,916 = 83,003,916/x
  3. Step 3: Cross multiply
    37,839,462x = 83,003,916 × 83,003,916
  4. Step 4: Simplify right side
    37,839,462x = 6,889,650,071,335,056
  5. Step 5: Solve for x
    x = 6,889,650,071,335,056/37,839,462
  6. Step 6: Final answer
    x = 182,075,793.55

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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.