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Finding the Third Proportional to 30,485,992,318.50 and 66,037,813,116

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Solution

The third proportional to 30,485,992,318.50 and 66,037,813,116 is: 143,049,067,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,992,318.50 : 66,037,813,116 = 66,037,813,116 : x
  2. Step 2: Convert to fraction form
    30,485,992,318.50/66,037,813,116 = 66,037,813,116/x
  3. Step 3: Cross multiply
    30,485,992,318.50x = 66,037,813,116 × 66,037,813,116
  4. Step 4: Simplify right side
    30,485,992,318.50x = 4,360,992,761,143,741,644,800
  5. Step 5: Solve for x
    x = 4,360,992,761,143,741,644,800/30,485,992,318.50
  6. Step 6: Final answer
    x = 143,049,067,111.96

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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.