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Finding the Third Proportional to 125,739,494,051 and 274,236,513,211

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Solution

The third proportional to 125,739,494,051 and 274,236,513,211 is: 598,106,949,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739,494,051 : 274,236,513,211 = 274,236,513,211 : x
  2. Step 2: Convert to fraction form
    125,739,494,051/274,236,513,211 = 274,236,513,211/x
  3. Step 3: Cross multiply
    125,739,494,051x = 274,236,513,211 × 274,236,513,211
  4. Step 4: Simplify right side
    125,739,494,051x = 75,205,665,178,126,980,743,168
  5. Step 5: Solve for x
    x = 75,205,665,178,126,980,743,168/125,739,494,051
  6. Step 6: Final answer
    x = 598,106,949,178.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.