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Finding the Third Proportional to 43,034,016 and 64,677,147

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Solution

The third proportional to 43,034,016 and 64,677,147 is: 97,205,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,034,016 : 64,677,147 = 64,677,147 : x
  2. Step 2: Convert to fraction form
    43,034,016/64,677,147 = 64,677,147/x
  3. Step 3: Cross multiply
    43,034,016x = 64,677,147 × 64,677,147
  4. Step 4: Simplify right side
    43,034,016x = 4,183,133,344,059,609
  5. Step 5: Solve for x
    x = 4,183,133,344,059,609/43,034,016
  6. Step 6: Final answer
    x = 97,205,274.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.