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Finding the Third Proportional to 32,298,129,544,620 and 69,494,866,839,336

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Solution

The third proportional to 32,298,129,544,620 and 69,494,866,839,336 is: 149,529,913,499,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298,129,544,620 : 69,494,866,839,336 = 69,494,866,839,336 : x
  2. Step 2: Convert to fraction form
    32,298,129,544,620/69,494,866,839,336 = 69,494,866,839,336/x
  3. Step 3: Cross multiply
    32,298,129,544,620x = 69,494,866,839,336 × 69,494,866,839,336
  4. Step 4: Simplify right side
    32,298,129,544,620x = 4,829,536,517,017,042,356,529,004,544
  5. Step 5: Solve for x
    x = 4,829,536,517,017,042,356,529,004,544/32,298,129,544,620
  6. Step 6: Final answer
    x = 149,529,913,499,944.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.