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Finding the Third Proportional to 125,739,494,028 and 274,236,513,168

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Solution

The third proportional to 125,739,494,028 and 274,236,513,168 is: 598,106,949,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,739,494,028 : 274,236,513,168 = 274,236,513,168 : x
  2. Step 2: Convert to fraction form
    125,739,494,028/274,236,513,168 = 274,236,513,168/x
  3. Step 3: Cross multiply
    125,739,494,028x = 274,236,513,168 × 274,236,513,168
  4. Step 4: Simplify right side
    125,739,494,028x = 75,205,665,154,542,635,843,584
  5. Step 5: Solve for x
    x = 75,205,665,154,542,635,843,584/125,739,494,028
  6. Step 6: Final answer
    x = 598,106,949,100.62

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Why These Related Problems?

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