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Finding the Third Proportional to 30,485,992,321.50 and 66,037,813,122

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Solution

The third proportional to 30,485,992,321.50 and 66,037,813,122 is: 143,049,067,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,992,321.50 : 66,037,813,122 = 66,037,813,122 : x
  2. Step 2: Convert to fraction form
    30,485,992,321.50/66,037,813,122 = 66,037,813,122/x
  3. Step 3: Cross multiply
    30,485,992,321.50x = 66,037,813,122 × 66,037,813,122
  4. Step 4: Simplify right side
    30,485,992,321.50x = 4,360,992,761,936,195,616,768
  5. Step 5: Solve for x
    x = 4,360,992,761,936,195,616,768/30,485,992,321.50
  6. Step 6: Final answer
    x = 143,049,067,123.88

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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.