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Finding the Third Proportional to 30,869,016 and 67,052,208

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Solution

The third proportional to 30,869,016 and 67,052,208 is: 145,647,616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,869,016 : 67,052,208 = 67,052,208 : x
  2. Step 2: Convert to fraction form
    30,869,016/67,052,208 = 67,052,208/x
  3. Step 3: Cross multiply
    30,869,016x = 67,052,208 × 67,052,208
  4. Step 4: Simplify right side
    30,869,016x = 4,495,998,597,675,264
  5. Step 5: Solve for x
    x = 4,495,998,597,675,264/30,869,016
  6. Step 6: Final answer
    x = 145,647,616.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.