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Finding the Third Proportional to 34,677,729 and 54,002,147

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Solution

The third proportional to 34,677,729 and 54,002,147 is: 84,095,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,677,729 : 54,002,147 = 54,002,147 : x
  2. Step 2: Convert to fraction form
    34,677,729/54,002,147 = 54,002,147/x
  3. Step 3: Cross multiply
    34,677,729x = 54,002,147 × 54,002,147
  4. Step 4: Simplify right side
    34,677,729x = 2,916,231,880,609,609
  5. Step 5: Solve for x
    x = 2,916,231,880,609,609/34,677,729
  6. Step 6: Final answer
    x = 84,095,238.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.