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Finding the Third Proportional to 30,485,992,322 and 66,037,813,123

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Solution

The third proportional to 30,485,992,322 and 66,037,813,123 is: 143,049,067,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485,992,322 : 66,037,813,123 = 66,037,813,123 : x
  2. Step 2: Convert to fraction form
    30,485,992,322/66,037,813,123 = 66,037,813,123/x
  3. Step 3: Cross multiply
    30,485,992,322x = 66,037,813,123 × 66,037,813,123
  4. Step 4: Simplify right side
    30,485,992,322x = 4,360,992,762,068,271,104,000
  5. Step 5: Solve for x
    x = 4,360,992,762,068,271,104,000/30,485,992,322
  6. Step 6: Final answer
    x = 143,049,067,125.86

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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.